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Finding the Fourth Proportional to 31,751.66, 47,617.28 and 10,686

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Solution

The fourth proportional to 31,751.66, 47,617.28 and 10,686 is: 16,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.66 : 47,617.28 = 10,686 : x
  2. Step 2: Convert to fraction form
    31,751.66/47,617.28 = 10,686/x
  3. Step 3: Cross multiply
    31,751.66x = 47,617.28 × 10,686
  4. Step 4: Simplify right side
    31,751.66x = 508,838,254.08
  5. Step 5: Solve for x
    x = 508,838,254.08/31,751.66
  6. Step 6: Final answer
    x = 16,025.56

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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.