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Finding the Fourth Proportional to 8,549.20, 12,826.20 and 4,166.80

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Solution

The fourth proportional to 8,549.20, 12,826.20 and 4,166.80 is: 6,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.20 : 12,826.20 = 4,166.80 : x
  2. Step 2: Convert to fraction form
    8,549.20/12,826.20 = 4,166.80/x
  3. Step 3: Cross multiply
    8,549.20x = 12,826.20 × 4,166.80
  4. Step 4: Simplify right side
    8,549.20x = 53,444,210.16
  5. Step 5: Solve for x
    x = 53,444,210.16/8,549.20
  6. Step 6: Final answer
    x = 6,251.37

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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.