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Finding the Fourth Proportional to 8,586, 12,888.18 and 3,657.96

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Solution

The fourth proportional to 8,586, 12,888.18 and 3,657.96 is: 5,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 12,888.18 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    8,586/12,888.18 = 3,657.96/x
  3. Step 3: Cross multiply
    8,586x = 12,888.18 × 3,657.96
  4. Step 4: Simplify right side
    8,586x = 47,144,446.91
  5. Step 5: Solve for x
    x = 47,144,446.91/8,586
  6. Step 6: Final answer
    x = 5,490.85

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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.