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Finding the Fourth Proportional to 3,929.80, 5,892.90 and 1,737.40

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Solution

The fourth proportional to 3,929.80, 5,892.90 and 1,737.40 is: 2,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.80 : 5,892.90 = 1,737.40 : x
  2. Step 2: Convert to fraction form
    3,929.80/5,892.90 = 1,737.40/x
  3. Step 3: Cross multiply
    3,929.80x = 5,892.90 × 1,737.40
  4. Step 4: Simplify right side
    3,929.80x = 10,238,324.46
  5. Step 5: Solve for x
    x = 10,238,324.46/3,929.80
  6. Step 6: Final answer
    x = 2,605.30

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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.