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Finding the Fourth Proportional to 10,478.66, 15,728.30 and 7,697.52

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Solution

The fourth proportional to 10,478.66, 15,728.30 and 7,697.52 is: 11,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.66 : 15,728.30 = 7,697.52 : x
  2. Step 2: Convert to fraction form
    10,478.66/15,728.30 = 7,697.52/x
  3. Step 3: Cross multiply
    10,478.66x = 15,728.30 × 7,697.52
  4. Step 4: Simplify right side
    10,478.66x = 121,068,865.33
  5. Step 5: Solve for x
    x = 121,068,865.33/10,478.66
  6. Step 6: Final answer
    x = 11,553.86

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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.