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Finding the Fourth Proportional to 3,787, 5,680.54 and 1,051

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Solution

The fourth proportional to 3,787, 5,680.54 and 1,051 is: 1,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787 : 5,680.54 = 1,051 : x
  2. Step 2: Convert to fraction form
    3,787/5,680.54 = 1,051/x
  3. Step 3: Cross multiply
    3,787x = 5,680.54 × 1,051
  4. Step 4: Simplify right side
    3,787x = 5,970,247.54
  5. Step 5: Solve for x
    x = 5,970,247.54/3,787
  6. Step 6: Final answer
    x = 1,576.51

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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.