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Finding the Fourth Proportional to 11,500.28, 15,865.47 and 7,514.47

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Solution

The fourth proportional to 11,500.28, 15,865.47 and 7,514.47 is: 10,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.28 : 15,865.47 = 7,514.47 : x
  2. Step 2: Convert to fraction form
    11,500.28/15,865.47 = 7,514.47/x
  3. Step 3: Cross multiply
    11,500.28x = 15,865.47 × 7,514.47
  4. Step 4: Simplify right side
    11,500.28x = 119,220,618.18
  5. Step 5: Solve for x
    x = 119,220,618.18/11,500.28
  6. Step 6: Final answer
    x = 10,366.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.