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Finding the Fourth Proportional to 10,042.50, 13,857.44 and 5,566.32

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Solution

The fourth proportional to 10,042.50, 13,857.44 and 5,566.32 is: 7,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.50 : 13,857.44 = 5,566.32 : x
  2. Step 2: Convert to fraction form
    10,042.50/13,857.44 = 5,566.32/x
  3. Step 3: Cross multiply
    10,042.50x = 13,857.44 × 5,566.32
  4. Step 4: Simplify right side
    10,042.50x = 77,134,945.42
  5. Step 5: Solve for x
    x = 77,134,945.42/10,042.50
  6. Step 6: Final answer
    x = 7,680.85

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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.