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Finding the Fourth Proportional to 22,486.28, 31,032.11 and 12,416.15

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Solution

The fourth proportional to 22,486.28, 31,032.11 and 12,416.15 is: 17,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,486.28 : 31,032.11 = 12,416.15 : x
  2. Step 2: Convert to fraction form
    22,486.28/31,032.11 = 12,416.15/x
  3. Step 3: Cross multiply
    22,486.28x = 31,032.11 × 12,416.15
  4. Step 4: Simplify right side
    22,486.28x = 385,299,270.50
  5. Step 5: Solve for x
    x = 385,299,270.50/22,486.28
  6. Step 6: Final answer
    x = 17,134.86

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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.