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Finding the Fourth Proportional to 2,147.74, 3,221.13 and 1,051

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Solution

The fourth proportional to 2,147.74, 3,221.13 and 1,051 is: 1,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.74 : 3,221.13 = 1,051 : x
  2. Step 2: Convert to fraction form
    2,147.74/3,221.13 = 1,051/x
  3. Step 3: Cross multiply
    2,147.74x = 3,221.13 × 1,051
  4. Step 4: Simplify right side
    2,147.74x = 3,385,407.63
  5. Step 5: Solve for x
    x = 3,385,407.63/2,147.74
  6. Step 6: Final answer
    x = 1,576.27

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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.