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Finding the Fourth Proportional to 9,866, 14,761.72 and 5,707.92

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Solution

The fourth proportional to 9,866, 14,761.72 and 5,707.92 is: 8,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866 : 14,761.72 = 5,707.92 : x
  2. Step 2: Convert to fraction form
    9,866/14,761.72 = 5,707.92/x
  3. Step 3: Cross multiply
    9,866x = 14,761.72 × 5,707.92
  4. Step 4: Simplify right side
    9,866x = 84,258,716.82
  5. Step 5: Solve for x
    x = 84,258,716.82/9,866
  6. Step 6: Final answer
    x = 8,540.31

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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.