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Finding the Fourth Proportional to 39,509.88, 59,275.14 and 11,807.88

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Solution

The fourth proportional to 39,509.88, 59,275.14 and 11,807.88 is: 17,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,509.88 : 59,275.14 = 11,807.88 : x
  2. Step 2: Convert to fraction form
    39,509.88/59,275.14 = 11,807.88/x
  3. Step 3: Cross multiply
    39,509.88x = 59,275.14 × 11,807.88
  4. Step 4: Simplify right side
    39,509.88x = 699,913,740.10
  5. Step 5: Solve for x
    x = 699,913,740.10/39,509.88
  6. Step 6: Final answer
    x = 17,714.90

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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.