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Finding the Fourth Proportional to 10,523.78, 15,770.62 and 7,728.52

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Solution

The fourth proportional to 10,523.78, 15,770.62 and 7,728.52 is: 11,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.78 : 15,770.62 = 7,728.52 : x
  2. Step 2: Convert to fraction form
    10,523.78/15,770.62 = 7,728.52/x
  3. Step 3: Cross multiply
    10,523.78x = 15,770.62 × 7,728.52
  4. Step 4: Simplify right side
    10,523.78x = 121,883,552.08
  5. Step 5: Solve for x
    x = 121,883,552.08/10,523.78
  6. Step 6: Final answer
    x = 11,581.73

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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.