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Finding the Fourth Proportional to 2,113.74, 3,171.28 and 881.28

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Solution

The fourth proportional to 2,113.74, 3,171.28 and 881.28 is: 1,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.74 : 3,171.28 = 881.28 : x
  2. Step 2: Convert to fraction form
    2,113.74/3,171.28 = 881.28/x
  3. Step 3: Cross multiply
    2,113.74x = 3,171.28 × 881.28
  4. Step 4: Simplify right side
    2,113.74x = 2,794,785.64
  5. Step 5: Solve for x
    x = 2,794,785.64/2,113.74
  6. Step 6: Final answer
    x = 1,322.20

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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.