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Finding the Fourth Proportional to 8,294.78, 12,450.28 and 6,465.80

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Solution

The fourth proportional to 8,294.78, 12,450.28 and 6,465.80 is: 9,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.78 : 12,450.28 = 6,465.80 : x
  2. Step 2: Convert to fraction form
    8,294.78/12,450.28 = 6,465.80/x
  3. Step 3: Cross multiply
    8,294.78x = 12,450.28 × 6,465.80
  4. Step 4: Simplify right side
    8,294.78x = 80,501,020.42
  5. Step 5: Solve for x
    x = 80,501,020.42/8,294.78
  6. Step 6: Final answer
    x = 9,705.02

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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.