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Finding the Fourth Proportional to 2,174, 3,258.84 and 1,017.68

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Solution

The fourth proportional to 2,174, 3,258.84 and 1,017.68 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 3,258.84 = 1,017.68 : x
  2. Step 2: Convert to fraction form
    2,174/3,258.84 = 1,017.68/x
  3. Step 3: Cross multiply
    2,174x = 3,258.84 × 1,017.68
  4. Step 4: Simplify right side
    2,174x = 3,316,456.29
  5. Step 5: Solve for x
    x = 3,316,456.29/2,174
  6. Step 6: Final answer
    x = 1,525.51

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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.