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Finding the Fourth Proportional to 8,581, 12,873.42 and 3,034.28

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Solution

The fourth proportional to 8,581, 12,873.42 and 3,034.28 is: 4,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581 : 12,873.42 = 3,034.28 : x
  2. Step 2: Convert to fraction form
    8,581/12,873.42 = 3,034.28/x
  3. Step 3: Cross multiply
    8,581x = 12,873.42 × 3,034.28
  4. Step 4: Simplify right side
    8,581x = 39,061,560.84
  5. Step 5: Solve for x
    x = 39,061,560.84/8,581
  6. Step 6: Final answer
    x = 4,552.10

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Why These Related Problems?

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