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Finding the Fourth Proportional to 2,002.15, 3,003.23 and 906.49

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Solution

The fourth proportional to 2,002.15, 3,003.23 and 906.49 is: 1,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.15 : 3,003.23 = 906.49 : x
  2. Step 2: Convert to fraction form
    2,002.15/3,003.23 = 906.49/x
  3. Step 3: Cross multiply
    2,002.15x = 3,003.23 × 906.49
  4. Step 4: Simplify right side
    2,002.15x = 2,722,398.88
  5. Step 5: Solve for x
    x = 2,722,398.88/2,002.15
  6. Step 6: Final answer
    x = 1,359.74

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,003.15, 3,004.73 and 907.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.