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Finding the Fourth Proportional to 10,761.72, 14,857.80 and 8,532.60

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Solution

The fourth proportional to 10,761.72, 14,857.80 and 8,532.60 is: 11,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.72 : 14,857.80 = 8,532.60 : x
  2. Step 2: Convert to fraction form
    10,761.72/14,857.80 = 8,532.60/x
  3. Step 3: Cross multiply
    10,761.72x = 14,857.80 × 8,532.60
  4. Step 4: Simplify right side
    10,761.72x = 126,775,664.28
  5. Step 5: Solve for x
    x = 126,775,664.28/10,761.72
  6. Step 6: Final answer
    x = 11,780.24

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