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Finding the Fourth Proportional to 8,376.96, 12,568.90 and 4,214.72

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Solution

The fourth proportional to 8,376.96, 12,568.90 and 4,214.72 is: 6,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.96 : 12,568.90 = 4,214.72 : x
  2. Step 2: Convert to fraction form
    8,376.96/12,568.90 = 4,214.72/x
  3. Step 3: Cross multiply
    8,376.96x = 12,568.90 × 4,214.72
  4. Step 4: Simplify right side
    8,376.96x = 52,974,394.21
  5. Step 5: Solve for x
    x = 52,974,394.21/8,376.96
  6. Step 6: Final answer
    x = 6,323.82

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1.5x scale

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.