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Finding the Fourth Proportional to 15,154.29, 22,731.84 and 8,228.79

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Solution

The fourth proportional to 15,154.29, 22,731.84 and 8,228.79 is: 12,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.29 : 22,731.84 = 8,228.79 : x
  2. Step 2: Convert to fraction form
    15,154.29/22,731.84 = 8,228.79/x
  3. Step 3: Cross multiply
    15,154.29x = 22,731.84 × 8,228.79
  4. Step 4: Simplify right side
    15,154.29x = 187,055,537.67
  5. Step 5: Solve for x
    x = 187,055,537.67/15,154.29
  6. Step 6: Final answer
    x = 12,343.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.