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Finding the Fourth Proportional to 2,986.49, 4,478.29 and 906.12

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Solution

The fourth proportional to 2,986.49, 4,478.29 and 906.12 is: 1,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.49 : 4,478.29 = 906.12 : x
  2. Step 2: Convert to fraction form
    2,986.49/4,478.29 = 906.12/x
  3. Step 3: Cross multiply
    2,986.49x = 4,478.29 × 906.12
  4. Step 4: Simplify right side
    2,986.49x = 4,057,865.87
  5. Step 5: Solve for x
    x = 4,057,865.87/2,986.49
  6. Step 6: Final answer
    x = 1,358.74

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Half scale
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Double scale
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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.