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Finding the Fourth Proportional to 3,808.98, 5,714.37 and 1,211.92

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Solution

The fourth proportional to 3,808.98, 5,714.37 and 1,211.92 is: 1,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.98 : 5,714.37 = 1,211.92 : x
  2. Step 2: Convert to fraction form
    3,808.98/5,714.37 = 1,211.92/x
  3. Step 3: Cross multiply
    3,808.98x = 5,714.37 × 1,211.92
  4. Step 4: Simplify right side
    3,808.98x = 6,925,345.00
  5. Step 5: Solve for x
    x = 6,925,345.00/3,808.98
  6. Step 6: Final answer
    x = 1,818.16

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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.