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Finding the Fourth Proportional to 8,312, 12,450.24 and 5,381.60

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Solution

The fourth proportional to 8,312, 12,450.24 and 5,381.60 is: 8,060.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312 : 12,450.24 = 5,381.60 : x
  2. Step 2: Convert to fraction form
    8,312/12,450.24 = 5,381.60/x
  3. Step 3: Cross multiply
    8,312x = 12,450.24 × 5,381.60
  4. Step 4: Simplify right side
    8,312x = 67,002,211.58
  5. Step 5: Solve for x
    x = 67,002,211.58/8,312
  6. Step 6: Final answer
    x = 8,060.90

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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.