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Finding the Fourth Proportional to 8,542.64, 12,813.85 and 7,078.73

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Solution

The fourth proportional to 8,542.64, 12,813.85 and 7,078.73 is: 10,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.64 : 12,813.85 = 7,078.73 : x
  2. Step 2: Convert to fraction form
    8,542.64/12,813.85 = 7,078.73/x
  3. Step 3: Cross multiply
    8,542.64x = 12,813.85 × 7,078.73
  4. Step 4: Simplify right side
    8,542.64x = 90,705,720.34
  5. Step 5: Solve for x
    x = 90,705,720.34/8,542.64
  6. Step 6: Final answer
    x = 10,618.00

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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.