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Finding the Fourth Proportional to 2,258.16, 3,387.24 and 958.65

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Solution

The fourth proportional to 2,258.16, 3,387.24 and 958.65 is: 1,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.16 : 3,387.24 = 958.65 : x
  2. Step 2: Convert to fraction form
    2,258.16/3,387.24 = 958.65/x
  3. Step 3: Cross multiply
    2,258.16x = 3,387.24 × 958.65
  4. Step 4: Simplify right side
    2,258.16x = 3,247,177.63
  5. Step 5: Solve for x
    x = 3,247,177.63/2,258.16
  6. Step 6: Final answer
    x = 1,437.98

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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.