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Finding the Fourth Proportional to 22,963.68, 31,686.11 and 13,530.96

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Solution

The fourth proportional to 22,963.68, 31,686.11 and 13,530.96 is: 18,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.68 : 31,686.11 = 13,530.96 : x
  2. Step 2: Convert to fraction form
    22,963.68/31,686.11 = 13,530.96/x
  3. Step 3: Cross multiply
    22,963.68x = 31,686.11 × 13,530.96
  4. Step 4: Simplify right side
    22,963.68x = 428,743,419.31
  5. Step 5: Solve for x
    x = 428,743,419.31/22,963.68
  6. Step 6: Final answer
    x = 18,670.50

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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.