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Finding the Fourth Proportional to 5,157.61, 7,721.12 and 3,399.30

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Solution

The fourth proportional to 5,157.61, 7,721.12 and 3,399.30 is: 5,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.61 : 7,721.12 = 3,399.30 : x
  2. Step 2: Convert to fraction form
    5,157.61/7,721.12 = 3,399.30/x
  3. Step 3: Cross multiply
    5,157.61x = 7,721.12 × 3,399.30
  4. Step 4: Simplify right side
    5,157.61x = 26,246,411.71
  5. Step 5: Solve for x
    x = 26,246,411.71/5,157.61
  6. Step 6: Final answer
    x = 5,088.87

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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.