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Finding the Fourth Proportional to 8,280.80, 12,397.80 and 6,435.20

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Solution

The fourth proportional to 8,280.80, 12,397.80 and 6,435.20 is: 9,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.80 : 12,397.80 = 6,435.20 : x
  2. Step 2: Convert to fraction form
    8,280.80/12,397.80 = 6,435.20/x
  3. Step 3: Cross multiply
    8,280.80x = 12,397.80 × 6,435.20
  4. Step 4: Simplify right side
    8,280.80x = 79,782,322.56
  5. Step 5: Solve for x
    x = 79,782,322.56/8,280.80
  6. Step 6: Final answer
    x = 9,634.62

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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.