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Finding the Fourth Proportional to 28,200.43, 42,299.08 and 9,478.53

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Solution

The fourth proportional to 28,200.43, 42,299.08 and 9,478.53 is: 14,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.43 : 42,299.08 = 9,478.53 : x
  2. Step 2: Convert to fraction form
    28,200.43/42,299.08 = 9,478.53/x
  3. Step 3: Cross multiply
    28,200.43x = 42,299.08 × 9,478.53
  4. Step 4: Simplify right side
    28,200.43x = 400,933,098.75
  5. Step 5: Solve for x
    x = 400,933,098.75/28,200.43
  6. Step 6: Final answer
    x = 14,217.27

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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.