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Finding the Fourth Proportional to 8,731.32, 12,047.11 and 5,146.42

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Solution

The fourth proportional to 8,731.32, 12,047.11 and 5,146.42 is: 7,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.32 : 12,047.11 = 5,146.42 : x
  2. Step 2: Convert to fraction form
    8,731.32/12,047.11 = 5,146.42/x
  3. Step 3: Cross multiply
    8,731.32x = 12,047.11 × 5,146.42
  4. Step 4: Simplify right side
    8,731.32x = 61,999,487.85
  5. Step 5: Solve for x
    x = 61,999,487.85/8,731.32
  6. Step 6: Final answer
    x = 7,100.81

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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.