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Finding the Fourth Proportional to 8,140.78, 12,197.16 and 5,502.46

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Solution

The fourth proportional to 8,140.78, 12,197.16 and 5,502.46 is: 8,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.78 : 12,197.16 = 5,502.46 : x
  2. Step 2: Convert to fraction form
    8,140.78/12,197.16 = 5,502.46/x
  3. Step 3: Cross multiply
    8,140.78x = 12,197.16 × 5,502.46
  4. Step 4: Simplify right side
    8,140.78x = 67,114,385.01
  5. Step 5: Solve for x
    x = 67,114,385.01/8,140.78
  6. Step 6: Final answer
    x = 8,244.22

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1.5x scale

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.