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Finding the Fourth Proportional to 12,445.90, 17,178.90 and 8,200.06

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Solution

The fourth proportional to 12,445.90, 17,178.90 and 8,200.06 is: 11,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.90 : 17,178.90 = 8,200.06 : x
  2. Step 2: Convert to fraction form
    12,445.90/17,178.90 = 8,200.06/x
  3. Step 3: Cross multiply
    12,445.90x = 17,178.90 × 8,200.06
  4. Step 4: Simplify right side
    12,445.90x = 140,868,010.73
  5. Step 5: Solve for x
    x = 140,868,010.73/12,445.90
  6. Step 6: Final answer
    x = 11,318.43

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1.5x scale

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.