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Finding the Fourth Proportional to 1,918.29, 2,876.53 and 748.85

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Solution

The fourth proportional to 1,918.29, 2,876.53 and 748.85 is: 1,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.29 : 2,876.53 = 748.85 : x
  2. Step 2: Convert to fraction form
    1,918.29/2,876.53 = 748.85/x
  3. Step 3: Cross multiply
    1,918.29x = 2,876.53 × 748.85
  4. Step 4: Simplify right side
    1,918.29x = 2,154,089.49
  5. Step 5: Solve for x
    x = 2,154,089.49/1,918.29
  6. Step 6: Final answer
    x = 1,122.92

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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.