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Finding the Fourth Proportional to 2,171.68, 3,258 and 1,197.28

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Solution

The fourth proportional to 2,171.68, 3,258 and 1,197.28 is: 1,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.68 : 3,258 = 1,197.28 : x
  2. Step 2: Convert to fraction form
    2,171.68/3,258 = 1,197.28/x
  3. Step 3: Cross multiply
    2,171.68x = 3,258 × 1,197.28
  4. Step 4: Simplify right side
    2,171.68x = 3,900,738.24
  5. Step 5: Solve for x
    x = 3,900,738.24/2,171.68
  6. Step 6: Final answer
    x = 1,796.18

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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.