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Finding the Fourth Proportional to 12,659.90, 18,989.78 and 7,034.91

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Solution

The fourth proportional to 12,659.90, 18,989.78 and 7,034.91 is: 10,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.90 : 18,989.78 = 7,034.91 : x
  2. Step 2: Convert to fraction form
    12,659.90/18,989.78 = 7,034.91/x
  3. Step 3: Cross multiply
    12,659.90x = 18,989.78 × 7,034.91
  4. Step 4: Simplify right side
    12,659.90x = 133,591,358.05
  5. Step 5: Solve for x
    x = 133,591,358.05/12,659.90
  6. Step 6: Final answer
    x = 10,552.33

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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.