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Finding the Fourth Proportional to 8,761.92, 12,088 and 5,779.28

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Solution

The fourth proportional to 8,761.92, 12,088 and 5,779.28 is: 7,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.92 : 12,088 = 5,779.28 : x
  2. Step 2: Convert to fraction form
    8,761.92/12,088 = 5,779.28/x
  3. Step 3: Cross multiply
    8,761.92x = 12,088 × 5,779.28
  4. Step 4: Simplify right side
    8,761.92x = 69,859,936.64
  5. Step 5: Solve for x
    x = 69,859,936.64/8,761.92
  6. Step 6: Final answer
    x = 7,973.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.