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Finding the Fourth Proportional to 21,256.97, 31,866.95 and 8,769.20

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Solution

The fourth proportional to 21,256.97, 31,866.95 and 8,769.20 is: 13,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.97 : 31,866.95 = 8,769.20 : x
  2. Step 2: Convert to fraction form
    21,256.97/31,866.95 = 8,769.20/x
  3. Step 3: Cross multiply
    21,256.97x = 31,866.95 × 8,769.20
  4. Step 4: Simplify right side
    21,256.97x = 279,447,520.53
  5. Step 5: Solve for x
    x = 279,447,520.53/21,256.97
  6. Step 6: Final answer
    x = 13,146.16

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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.