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Finding the Fourth Proportional to 8,586.84, 12,869.30 and 3,655.14

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Solution

The fourth proportional to 8,586.84, 12,869.30 and 3,655.14 is: 5,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.84 : 12,869.30 = 3,655.14 : x
  2. Step 2: Convert to fraction form
    8,586.84/12,869.30 = 3,655.14/x
  3. Step 3: Cross multiply
    8,586.84x = 12,869.30 × 3,655.14
  4. Step 4: Simplify right side
    8,586.84x = 47,039,093.20
  5. Step 5: Solve for x
    x = 47,039,093.20/8,586.84
  6. Step 6: Final answer
    x = 5,478.04

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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.