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Finding the Fourth Proportional to 22,686.48, 31,308.12 and 13,254.84

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Solution

The fourth proportional to 22,686.48, 31,308.12 and 13,254.84 is: 18,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.48 : 31,308.12 = 13,254.84 : x
  2. Step 2: Convert to fraction form
    22,686.48/31,308.12 = 13,254.84/x
  3. Step 3: Cross multiply
    22,686.48x = 31,308.12 × 13,254.84
  4. Step 4: Simplify right side
    22,686.48x = 414,984,121.30
  5. Step 5: Solve for x
    x = 414,984,121.30/22,686.48
  6. Step 6: Final answer
    x = 18,292.13

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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.