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Finding the Fourth Proportional to 8,574.56, 12,841.68 and 4,178.24

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Solution

The fourth proportional to 8,574.56, 12,841.68 and 4,178.24 is: 6,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.56 : 12,841.68 = 4,178.24 : x
  2. Step 2: Convert to fraction form
    8,574.56/12,841.68 = 4,178.24/x
  3. Step 3: Cross multiply
    8,574.56x = 12,841.68 × 4,178.24
  4. Step 4: Simplify right side
    8,574.56x = 53,655,621.04
  5. Step 5: Solve for x
    x = 53,655,621.04/8,574.56
  6. Step 6: Final answer
    x = 6,257.54

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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.