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Finding the Fourth Proportional to 2,098.95, 3,146.09 and 864.87

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Solution

The fourth proportional to 2,098.95, 3,146.09 and 864.87 is: 1,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.95 : 3,146.09 = 864.87 : x
  2. Step 2: Convert to fraction form
    2,098.95/3,146.09 = 864.87/x
  3. Step 3: Cross multiply
    2,098.95x = 3,146.09 × 864.87
  4. Step 4: Simplify right side
    2,098.95x = 2,720,954.53
  5. Step 5: Solve for x
    x = 2,720,954.53/2,098.95
  6. Step 6: Final answer
    x = 1,296.34

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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.