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Finding the Fourth Proportional to 10,339.92, 14,269 and 5,624.20

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Solution

The fourth proportional to 10,339.92, 14,269 and 5,624.20 is: 7,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.92 : 14,269 = 5,624.20 : x
  2. Step 2: Convert to fraction form
    10,339.92/14,269 = 5,624.20/x
  3. Step 3: Cross multiply
    10,339.92x = 14,269 × 5,624.20
  4. Step 4: Simplify right side
    10,339.92x = 80,251,709.80
  5. Step 5: Solve for x
    x = 80,251,709.80/10,339.92
  6. Step 6: Final answer
    x = 7,761.35

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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.