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Finding the Fourth Proportional to 12,614.54, 18,921.80 and 4,295.43

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Solution

The fourth proportional to 12,614.54, 18,921.80 and 4,295.43 is: 6,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.54 : 18,921.80 = 4,295.43 : x
  2. Step 2: Convert to fraction form
    12,614.54/18,921.80 = 4,295.43/x
  3. Step 3: Cross multiply
    12,614.54x = 18,921.80 × 4,295.43
  4. Step 4: Simplify right side
    12,614.54x = 81,277,278.11
  5. Step 5: Solve for x
    x = 81,277,278.11/12,614.54
  6. Step 6: Final answer
    x = 6,443.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.