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Finding the Fourth Proportional to 9,510.38, 13,126.14 and 6,372.04

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Solution

The fourth proportional to 9,510.38, 13,126.14 and 6,372.04 is: 8,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.38 : 13,126.14 = 6,372.04 : x
  2. Step 2: Convert to fraction form
    9,510.38/13,126.14 = 6,372.04/x
  3. Step 3: Cross multiply
    9,510.38x = 13,126.14 × 6,372.04
  4. Step 4: Simplify right side
    9,510.38x = 83,640,289.13
  5. Step 5: Solve for x
    x = 83,640,289.13/9,510.38
  6. Step 6: Final answer
    x = 8,794.63

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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.