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Finding the Fourth Proportional to 9,942.64, 14,906.48 and 8,572.12

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Solution

The fourth proportional to 9,942.64, 14,906.48 and 8,572.12 is: 12,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.64 : 14,906.48 = 8,572.12 : x
  2. Step 2: Convert to fraction form
    9,942.64/14,906.48 = 8,572.12/x
  3. Step 3: Cross multiply
    9,942.64x = 14,906.48 × 8,572.12
  4. Step 4: Simplify right side
    9,942.64x = 127,780,135.34
  5. Step 5: Solve for x
    x = 127,780,135.34/9,942.64
  6. Step 6: Final answer
    x = 12,851.73

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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.