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Finding the Fourth Proportional to 14,554, 20,087.76 and 9,247.78

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Solution

The fourth proportional to 14,554, 20,087.76 and 9,247.78 is: 12,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554 : 20,087.76 = 9,247.78 : x
  2. Step 2: Convert to fraction form
    14,554/20,087.76 = 9,247.78/x
  3. Step 3: Cross multiply
    14,554x = 20,087.76 × 9,247.78
  4. Step 4: Simplify right side
    14,554x = 185,767,185.17
  5. Step 5: Solve for x
    x = 185,767,185.17/14,554
  6. Step 6: Final answer
    x = 12,764.00

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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.