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Finding the Fourth Proportional to 8,312, 12,468.72 and 2,156

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Solution

The fourth proportional to 8,312, 12,468.72 and 2,156 is: 3,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 12,468.72 = 2,156 : x
  2. Step 2: Convert to fraction form
    8,312/12,468.72 = 2,156/x
  3. Step 3: Cross multiply
    8,312x = 12,468.72 × 2,156
  4. Step 4: Simplify right side
    8,312x = 26,882,560.32
  5. Step 5: Solve for x
    x = 26,882,560.32/8,312
  6. Step 6: Final answer
    x = 3,234.19

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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.