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Finding the Fourth Proportional to 2,175.66, 3,260.66 and 876.42

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Solution

The fourth proportional to 2,175.66, 3,260.66 and 876.42 is: 1,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.66 : 3,260.66 = 876.42 : x
  2. Step 2: Convert to fraction form
    2,175.66/3,260.66 = 876.42/x
  3. Step 3: Cross multiply
    2,175.66x = 3,260.66 × 876.42
  4. Step 4: Simplify right side
    2,175.66x = 2,857,703.26
  5. Step 5: Solve for x
    x = 2,857,703.26/2,175.66
  6. Step 6: Final answer
    x = 1,313.49

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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.