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Finding the Fourth Proportional to 8,542.67, 12,813.50 and 3,280.20

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Solution

The fourth proportional to 8,542.67, 12,813.50 and 3,280.20 is: 4,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.67 : 12,813.50 = 3,280.20 : x
  2. Step 2: Convert to fraction form
    8,542.67/12,813.50 = 3,280.20/x
  3. Step 3: Cross multiply
    8,542.67x = 12,813.50 × 3,280.20
  4. Step 4: Simplify right side
    8,542.67x = 42,030,842.70
  5. Step 5: Solve for x
    x = 42,030,842.70/8,542.67
  6. Step 6: Final answer
    x = 4,920.11

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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.