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Finding the Fourth Proportional to 8,542.25, 12,813.29 and 2,698.85

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Solution

The fourth proportional to 8,542.25, 12,813.29 and 2,698.85 is: 4,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.25 : 12,813.29 = 2,698.85 : x
  2. Step 2: Convert to fraction form
    8,542.25/12,813.29 = 2,698.85/x
  3. Step 3: Cross multiply
    8,542.25x = 12,813.29 × 2,698.85
  4. Step 4: Simplify right side
    8,542.25x = 34,581,205.46
  5. Step 5: Solve for x
    x = 34,581,205.46/8,542.25
  6. Step 6: Final answer
    x = 4,048.26

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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.