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Finding the Fourth Proportional to 2,330.49, 3,495.97 and 869.31

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Solution

The fourth proportional to 2,330.49, 3,495.97 and 869.31 is: 1,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.49 : 3,495.97 = 869.31 : x
  2. Step 2: Convert to fraction form
    2,330.49/3,495.97 = 869.31/x
  3. Step 3: Cross multiply
    2,330.49x = 3,495.97 × 869.31
  4. Step 4: Simplify right side
    2,330.49x = 3,039,081.68
  5. Step 5: Solve for x
    x = 3,039,081.68/2,330.49
  6. Step 6: Final answer
    x = 1,304.05

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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.