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Finding the Fourth Proportional to 10,614.78, 14,659.07 and 8,744.90

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Solution

The fourth proportional to 10,614.78, 14,659.07 and 8,744.90 is: 12,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.78 : 14,659.07 = 8,744.90 : x
  2. Step 2: Convert to fraction form
    10,614.78/14,659.07 = 8,744.90/x
  3. Step 3: Cross multiply
    10,614.78x = 14,659.07 × 8,744.90
  4. Step 4: Simplify right side
    10,614.78x = 128,192,101.24
  5. Step 5: Solve for x
    x = 128,192,101.24/10,614.78
  6. Step 6: Final answer
    x = 12,076.76

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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.