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Finding the Fourth Proportional to 3,810.72, 5,714.65 and 1,344.88

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Solution

The fourth proportional to 3,810.72, 5,714.65 and 1,344.88 is: 2,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.72 : 5,714.65 = 1,344.88 : x
  2. Step 2: Convert to fraction form
    3,810.72/5,714.65 = 1,344.88/x
  3. Step 3: Cross multiply
    3,810.72x = 5,714.65 × 1,344.88
  4. Step 4: Simplify right side
    3,810.72x = 7,685,518.49
  5. Step 5: Solve for x
    x = 7,685,518.49/3,810.72
  6. Step 6: Final answer
    x = 2,016.82

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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.