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Finding the Fourth Proportional to 10,513.76, 15,781.07 and 5,583.44

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Solution

The fourth proportional to 10,513.76, 15,781.07 and 5,583.44 is: 8,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.76 : 15,781.07 = 5,583.44 : x
  2. Step 2: Convert to fraction form
    10,513.76/15,781.07 = 5,583.44/x
  3. Step 3: Cross multiply
    10,513.76x = 15,781.07 × 5,583.44
  4. Step 4: Simplify right side
    10,513.76x = 88,112,550.66
  5. Step 5: Solve for x
    x = 88,112,550.66/10,513.76
  6. Step 6: Final answer
    x = 8,380.69

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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.