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Finding the Fourth Proportional to 2,258.40, 3,386.78 and 871.02

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Solution

The fourth proportional to 2,258.40, 3,386.78 and 871.02 is: 1,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.40 : 3,386.78 = 871.02 : x
  2. Step 2: Convert to fraction form
    2,258.40/3,386.78 = 871.02/x
  3. Step 3: Cross multiply
    2,258.40x = 3,386.78 × 871.02
  4. Step 4: Simplify right side
    2,258.40x = 2,949,953.12
  5. Step 5: Solve for x
    x = 2,949,953.12/2,258.40
  6. Step 6: Final answer
    x = 1,306.21

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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.