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Finding the Fourth Proportional to 2,098.64, 3,146.74 and 864.66

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Solution

The fourth proportional to 2,098.64, 3,146.74 and 864.66 is: 1,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.64 : 3,146.74 = 864.66 : x
  2. Step 2: Convert to fraction form
    2,098.64/3,146.74 = 864.66/x
  3. Step 3: Cross multiply
    2,098.64x = 3,146.74 × 864.66
  4. Step 4: Simplify right side
    2,098.64x = 2,720,860.21
  5. Step 5: Solve for x
    x = 2,720,860.21/2,098.64
  6. Step 6: Final answer
    x = 1,296.49

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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.