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Finding the Fourth Proportional to 14,691.78, 20,274.90 and 7,977.42

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Solution

The fourth proportional to 14,691.78, 20,274.90 and 7,977.42 is: 11,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.78 : 20,274.90 = 7,977.42 : x
  2. Step 2: Convert to fraction form
    14,691.78/20,274.90 = 7,977.42/x
  3. Step 3: Cross multiply
    14,691.78x = 20,274.90 × 7,977.42
  4. Step 4: Simplify right side
    14,691.78x = 161,741,392.76
  5. Step 5: Solve for x
    x = 161,741,392.76/14,691.78
  6. Step 6: Final answer
    x = 11,008.97

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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.