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Finding the Fourth Proportional to 8,546.46, 12,823.66 and 3,279.72

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Solution

The fourth proportional to 8,546.46, 12,823.66 and 3,279.72 is: 4,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.46 : 12,823.66 = 3,279.72 : x
  2. Step 2: Convert to fraction form
    8,546.46/12,823.66 = 3,279.72/x
  3. Step 3: Cross multiply
    8,546.46x = 12,823.66 × 3,279.72
  4. Step 4: Simplify right side
    8,546.46x = 42,058,014.18
  5. Step 5: Solve for x
    x = 42,058,014.18/8,546.46
  6. Step 6: Final answer
    x = 4,921.10

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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.