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Finding the Fourth Proportional to 1,918.98, 2,648.11 and 1,079.67

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Solution

The fourth proportional to 1,918.98, 2,648.11 and 1,079.67 is: 1,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.98 : 2,648.11 = 1,079.67 : x
  2. Step 2: Convert to fraction form
    1,918.98/2,648.11 = 1,079.67/x
  3. Step 3: Cross multiply
    1,918.98x = 2,648.11 × 1,079.67
  4. Step 4: Simplify right side
    1,918.98x = 2,859,084.92
  5. Step 5: Solve for x
    x = 2,859,084.92/1,918.98
  6. Step 6: Final answer
    x = 1,489.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.