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Finding the Fourth Proportional to 8,340.78, 12,520.94 and 6,586.96

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Solution

The fourth proportional to 8,340.78, 12,520.94 and 6,586.96 is: 9,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.78 : 12,520.94 = 6,586.96 : x
  2. Step 2: Convert to fraction form
    8,340.78/12,520.94 = 6,586.96/x
  3. Step 3: Cross multiply
    8,340.78x = 12,520.94 × 6,586.96
  4. Step 4: Simplify right side
    8,340.78x = 82,474,930.94
  5. Step 5: Solve for x
    x = 82,474,930.94/8,340.78
  6. Step 6: Final answer
    x = 9,888.16

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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.