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Finding the Fourth Proportional to 8,618.84, 12,916.74 and 5,327.96

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Solution

The fourth proportional to 8,618.84, 12,916.74 and 5,327.96 is: 7,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.84 : 12,916.74 = 5,327.96 : x
  2. Step 2: Convert to fraction form
    8,618.84/12,916.74 = 5,327.96/x
  3. Step 3: Cross multiply
    8,618.84x = 12,916.74 × 5,327.96
  4. Step 4: Simplify right side
    8,618.84x = 68,819,874.05
  5. Step 5: Solve for x
    x = 68,819,874.05/8,618.84
  6. Step 6: Final answer
    x = 7,984.82

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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.