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Finding the Fourth Proportional to 10,588.78, 15,887.76 and 5,042.08

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Solution

The fourth proportional to 10,588.78, 15,887.76 and 5,042.08 is: 7,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.78 : 15,887.76 = 5,042.08 : x
  2. Step 2: Convert to fraction form
    10,588.78/15,887.76 = 5,042.08/x
  3. Step 3: Cross multiply
    10,588.78x = 15,887.76 × 5,042.08
  4. Step 4: Simplify right side
    10,588.78x = 80,107,356.94
  5. Step 5: Solve for x
    x = 80,107,356.94/10,588.78
  6. Step 6: Final answer
    x = 7,565.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.