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Finding the Fourth Proportional to 12,644.64, 18,951.60 and 8,947.95

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Solution

The fourth proportional to 12,644.64, 18,951.60 and 8,947.95 is: 13,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.64 : 18,951.60 = 8,947.95 : x
  2. Step 2: Convert to fraction form
    12,644.64/18,951.60 = 8,947.95/x
  3. Step 3: Cross multiply
    12,644.64x = 18,951.60 × 8,947.95
  4. Step 4: Simplify right side
    12,644.64x = 169,577,969.22
  5. Step 5: Solve for x
    x = 169,577,969.22/12,644.64
  6. Step 6: Final answer
    x = 13,411.06

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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.