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Finding the Fourth Proportional to 8,073.54, 12,107.10 and 3,142.47

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Solution

The fourth proportional to 8,073.54, 12,107.10 and 3,142.47 is: 4,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.54 : 12,107.10 = 3,142.47 : x
  2. Step 2: Convert to fraction form
    8,073.54/12,107.10 = 3,142.47/x
  3. Step 3: Cross multiply
    8,073.54x = 12,107.10 × 3,142.47
  4. Step 4: Simplify right side
    8,073.54x = 38,046,198.54
  5. Step 5: Solve for x
    x = 38,046,198.54/8,073.54
  6. Step 6: Final answer
    x = 4,712.46

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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.