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Finding the Fourth Proportional to 9,372.70, 12,936 and 7,131.16

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Solution

The fourth proportional to 9,372.70, 12,936 and 7,131.16 is: 9,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.70 : 12,936 = 7,131.16 : x
  2. Step 2: Convert to fraction form
    9,372.70/12,936 = 7,131.16/x
  3. Step 3: Cross multiply
    9,372.70x = 12,936 × 7,131.16
  4. Step 4: Simplify right side
    9,372.70x = 92,248,685.76
  5. Step 5: Solve for x
    x = 92,248,685.76/9,372.70
  6. Step 6: Final answer
    x = 9,842.27

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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.