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Finding the Fourth Proportional to 2,338.35, 3,506.50 and 876.48

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Solution

The fourth proportional to 2,338.35, 3,506.50 and 876.48 is: 1,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.35 : 3,506.50 = 876.48 : x
  2. Step 2: Convert to fraction form
    2,338.35/3,506.50 = 876.48/x
  3. Step 3: Cross multiply
    2,338.35x = 3,506.50 × 876.48
  4. Step 4: Simplify right side
    2,338.35x = 3,073,377.12
  5. Step 5: Solve for x
    x = 3,073,377.12/2,338.35
  6. Step 6: Final answer
    x = 1,314.34

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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.