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Finding the Fourth Proportional to 12,242.87, 16,898.78 and 7,994.60

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Solution

The fourth proportional to 12,242.87, 16,898.78 and 7,994.60 is: 11,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.87 : 16,898.78 = 7,994.60 : x
  2. Step 2: Convert to fraction form
    12,242.87/16,898.78 = 7,994.60/x
  3. Step 3: Cross multiply
    12,242.87x = 16,898.78 × 7,994.60
  4. Step 4: Simplify right side
    12,242.87x = 135,098,862.12
  5. Step 5: Solve for x
    x = 135,098,862.12/12,242.87
  6. Step 6: Final answer
    x = 11,034.90

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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.