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Finding the Fourth Proportional to 2,714.80, 4,081.20 and 2,358.40

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Solution

The fourth proportional to 2,714.80, 4,081.20 and 2,358.40 is: 3,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.80 : 4,081.20 = 2,358.40 : x
  2. Step 2: Convert to fraction form
    2,714.80/4,081.20 = 2,358.40/x
  3. Step 3: Cross multiply
    2,714.80x = 4,081.20 × 2,358.40
  4. Step 4: Simplify right side
    2,714.80x = 9,625,102.08
  5. Step 5: Solve for x
    x = 9,625,102.08/2,714.80
  6. Step 6: Final answer
    x = 3,545.42

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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.