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Finding the Fourth Proportional to 8,472.75, 12,709.13 and 2,316.75

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Solution

The fourth proportional to 8,472.75, 12,709.13 and 2,316.75 is: 3,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.75 : 12,709.13 = 2,316.75 : x
  2. Step 2: Convert to fraction form
    8,472.75/12,709.13 = 2,316.75/x
  3. Step 3: Cross multiply
    8,472.75x = 12,709.13 × 2,316.75
  4. Step 4: Simplify right side
    8,472.75x = 29,443,865.34
  5. Step 5: Solve for x
    x = 29,443,865.34/8,472.75
  6. Step 6: Final answer
    x = 3,475.13

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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.