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Finding the Fourth Proportional to 9,021.71, 12,441.87 and 7,514.28

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Solution

The fourth proportional to 9,021.71, 12,441.87 and 7,514.28 is: 10,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.71 : 12,441.87 = 7,514.28 : x
  2. Step 2: Convert to fraction form
    9,021.71/12,441.87 = 7,514.28/x
  3. Step 3: Cross multiply
    9,021.71x = 12,441.87 × 7,514.28
  4. Step 4: Simplify right side
    9,021.71x = 93,491,694.90
  5. Step 5: Solve for x
    x = 93,491,694.90/9,021.71
  6. Step 6: Final answer
    x = 10,362.97

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Half scale
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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.