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Finding the Fourth Proportional to 2,003.80, 3,006.06 and 617.13

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Solution

The fourth proportional to 2,003.80, 3,006.06 and 617.13 is: 925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.80 : 3,006.06 = 617.13 : x
  2. Step 2: Convert to fraction form
    2,003.80/3,006.06 = 617.13/x
  3. Step 3: Cross multiply
    2,003.80x = 3,006.06 × 617.13
  4. Step 4: Simplify right side
    2,003.80x = 1,855,129.81
  5. Step 5: Solve for x
    x = 1,855,129.81/2,003.80
  6. Step 6: Final answer
    x = 925.81

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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.