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Finding the Fourth Proportional to 8,441.92, 12,653.22 and 5,280.78

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Solution

The fourth proportional to 8,441.92, 12,653.22 and 5,280.78 is: 7,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.92 : 12,653.22 = 5,280.78 : x
  2. Step 2: Convert to fraction form
    8,441.92/12,653.22 = 5,280.78/x
  3. Step 3: Cross multiply
    8,441.92x = 12,653.22 × 5,280.78
  4. Step 4: Simplify right side
    8,441.92x = 66,818,871.11
  5. Step 5: Solve for x
    x = 66,818,871.11/8,441.92
  6. Step 6: Final answer
    x = 7,915.13

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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.