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Finding the Fourth Proportional to 9,472.60, 14,225.10 and 6,200.20

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Solution

The fourth proportional to 9,472.60, 14,225.10 and 6,200.20 is: 9,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.60 : 14,225.10 = 6,200.20 : x
  2. Step 2: Convert to fraction form
    9,472.60/14,225.10 = 6,200.20/x
  3. Step 3: Cross multiply
    9,472.60x = 14,225.10 × 6,200.20
  4. Step 4: Simplify right side
    9,472.60x = 88,198,465.02
  5. Step 5: Solve for x
    x = 88,198,465.02/9,472.60
  6. Step 6: Final answer
    x = 9,310.90

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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.