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Finding the Fourth Proportional to 14,566, 20,101.08 and 8,278.78

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Solution

The fourth proportional to 14,566, 20,101.08 and 8,278.78 is: 11,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566 : 20,101.08 = 8,278.78 : x
  2. Step 2: Convert to fraction form
    14,566/20,101.08 = 8,278.78/x
  3. Step 3: Cross multiply
    14,566x = 20,101.08 × 8,278.78
  4. Step 4: Simplify right side
    14,566x = 166,412,419.08
  5. Step 5: Solve for x
    x = 166,412,419.08/14,566
  6. Step 6: Final answer
    x = 11,424.72

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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.