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Finding the Fourth Proportional to 22,918.74, 31,627.76 and 12,847.17

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Solution

The fourth proportional to 22,918.74, 31,627.76 and 12,847.17 is: 17,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,918.74 : 31,627.76 = 12,847.17 : x
  2. Step 2: Convert to fraction form
    22,918.74/31,627.76 = 12,847.17/x
  3. Step 3: Cross multiply
    22,918.74x = 31,627.76 × 12,847.17
  4. Step 4: Simplify right side
    22,918.74x = 406,327,145.20
  5. Step 5: Solve for x
    x = 406,327,145.20/22,918.74
  6. Step 6: Final answer
    x = 17,729.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.