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Finding the Fourth Proportional to 10,543.64, 15,781.12 and 7,769.20

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Solution

The fourth proportional to 10,543.64, 15,781.12 and 7,769.20 is: 11,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.64 : 15,781.12 = 7,769.20 : x
  2. Step 2: Convert to fraction form
    10,543.64/15,781.12 = 7,769.20/x
  3. Step 3: Cross multiply
    10,543.64x = 15,781.12 × 7,769.20
  4. Step 4: Simplify right side
    10,543.64x = 122,606,677.50
  5. Step 5: Solve for x
    x = 122,606,677.50/10,543.64
  6. Step 6: Final answer
    x = 11,628.50

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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.