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Finding the Fourth Proportional to 10,519.52, 15,764.24 and 7,724.26

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Solution

The fourth proportional to 10,519.52, 15,764.24 and 7,724.26 is: 11,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.52 : 15,764.24 = 7,724.26 : x
  2. Step 2: Convert to fraction form
    10,519.52/15,764.24 = 7,724.26/x
  3. Step 3: Cross multiply
    10,519.52x = 15,764.24 × 7,724.26
  4. Step 4: Simplify right side
    10,519.52x = 121,767,049.05
  5. Step 5: Solve for x
    x = 121,767,049.05/10,519.52
  6. Step 6: Final answer
    x = 11,575.35

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1.5x scale

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.