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Finding the Fourth Proportional to 2,537.84, 3,806.54 and 871.82

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Solution

The fourth proportional to 2,537.84, 3,806.54 and 871.82 is: 1,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.84 : 3,806.54 = 871.82 : x
  2. Step 2: Convert to fraction form
    2,537.84/3,806.54 = 871.82/x
  3. Step 3: Cross multiply
    2,537.84x = 3,806.54 × 871.82
  4. Step 4: Simplify right side
    2,537.84x = 3,318,626.13
  5. Step 5: Solve for x
    x = 3,318,626.13/2,537.84
  6. Step 6: Final answer
    x = 1,307.66

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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.