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Finding the Fourth Proportional to 8,542.10, 12,803.10 and 3,856.64

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Solution

The fourth proportional to 8,542.10, 12,803.10 and 3,856.64 is: 5,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.10 : 12,803.10 = 3,856.64 : x
  2. Step 2: Convert to fraction form
    8,542.10/12,803.10 = 3,856.64/x
  3. Step 3: Cross multiply
    8,542.10x = 12,803.10 × 3,856.64
  4. Step 4: Simplify right side
    8,542.10x = 49,376,947.58
  5. Step 5: Solve for x
    x = 49,376,947.58/8,542.10
  6. Step 6: Final answer
    x = 5,780.42

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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.