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Finding the Fourth Proportional to 8,600.38, 12,829.16 and 8,312.44

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Solution

The fourth proportional to 8,600.38, 12,829.16 and 8,312.44 is: 12,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600.38 : 12,829.16 = 8,312.44 : x
  2. Step 2: Convert to fraction form
    8,600.38/12,829.16 = 8,312.44/x
  3. Step 3: Cross multiply
    8,600.38x = 12,829.16 × 8,312.44
  4. Step 4: Simplify right side
    8,600.38x = 106,641,622.75
  5. Step 5: Solve for x
    x = 106,641,622.75/8,600.38
  6. Step 6: Final answer
    x = 12,399.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.