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Finding the Fourth Proportional to 14,691.75, 20,274.64 and 7,977.28

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Solution

The fourth proportional to 14,691.75, 20,274.64 and 7,977.28 is: 11,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.75 : 20,274.64 = 7,977.28 : x
  2. Step 2: Convert to fraction form
    14,691.75/20,274.64 = 7,977.28/x
  3. Step 3: Cross multiply
    14,691.75x = 20,274.64 × 7,977.28
  4. Step 4: Simplify right side
    14,691.75x = 161,736,440.29
  5. Step 5: Solve for x
    x = 161,736,440.29/14,691.75
  6. Step 6: Final answer
    x = 11,008.66

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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.