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Finding the Fourth Proportional to 21,791, 32,686.43 and 12,299.02

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Solution

The fourth proportional to 21,791, 32,686.43 and 12,299.02 is: 18,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791 : 32,686.43 = 12,299.02 : x
  2. Step 2: Convert to fraction form
    21,791/32,686.43 = 12,299.02/x
  3. Step 3: Cross multiply
    21,791x = 32,686.43 × 12,299.02
  4. Step 4: Simplify right side
    21,791x = 402,010,923.61
  5. Step 5: Solve for x
    x = 402,010,923.61/21,791
  6. Step 6: Final answer
    x = 18,448.48

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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.