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Finding the Fourth Proportional to 8,358.78, 12,543.02 and 3,431.95

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Solution

The fourth proportional to 8,358.78, 12,543.02 and 3,431.95 is: 5,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.78 : 12,543.02 = 3,431.95 : x
  2. Step 2: Convert to fraction form
    8,358.78/12,543.02 = 3,431.95/x
  3. Step 3: Cross multiply
    8,358.78x = 12,543.02 × 3,431.95
  4. Step 4: Simplify right side
    8,358.78x = 43,047,026.07
  5. Step 5: Solve for x
    x = 43,047,026.07/8,358.78
  6. Step 6: Final answer
    x = 5,149.92

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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.