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Finding the Fourth Proportional to 3,776.14, 5,664.48 and 1,310.92

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Solution

The fourth proportional to 3,776.14, 5,664.48 and 1,310.92 is: 1,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.14 : 5,664.48 = 1,310.92 : x
  2. Step 2: Convert to fraction form
    3,776.14/5,664.48 = 1,310.92/x
  3. Step 3: Cross multiply
    3,776.14x = 5,664.48 × 1,310.92
  4. Step 4: Simplify right side
    3,776.14x = 7,425,680.12
  5. Step 5: Solve for x
    x = 7,425,680.12/3,776.14
  6. Step 6: Final answer
    x = 1,966.47

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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.