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Finding the Fourth Proportional to 10,513.68, 15,781.46 and 7,743.48

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Solution

The fourth proportional to 10,513.68, 15,781.46 and 7,743.48 is: 11,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.68 : 15,781.46 = 7,743.48 : x
  2. Step 2: Convert to fraction form
    10,513.68/15,781.46 = 7,743.48/x
  3. Step 3: Cross multiply
    10,513.68x = 15,781.46 × 7,743.48
  4. Step 4: Simplify right side
    10,513.68x = 122,203,419.88
  5. Step 5: Solve for x
    x = 122,203,419.88/10,513.68
  6. Step 6: Final answer
    x = 11,623.28

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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.