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Finding the Fourth Proportional to 9,211.72, 12,714.22 and 5,853.88

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Solution

The fourth proportional to 9,211.72, 12,714.22 and 5,853.88 is: 8,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.72 : 12,714.22 = 5,853.88 : x
  2. Step 2: Convert to fraction form
    9,211.72/12,714.22 = 5,853.88/x
  3. Step 3: Cross multiply
    9,211.72x = 12,714.22 × 5,853.88
  4. Step 4: Simplify right side
    9,211.72x = 74,427,454.60
  5. Step 5: Solve for x
    x = 74,427,454.60/9,211.72
  6. Step 6: Final answer
    x = 8,079.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.