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Finding the Fourth Proportional to 1,876.20, 2,814.05 and 489.65

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Solution

The fourth proportional to 1,876.20, 2,814.05 and 489.65 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.20 : 2,814.05 = 489.65 : x
  2. Step 2: Convert to fraction form
    1,876.20/2,814.05 = 489.65/x
  3. Step 3: Cross multiply
    1,876.20x = 2,814.05 × 489.65
  4. Step 4: Simplify right side
    1,876.20x = 1,377,883.06
  5. Step 5: Solve for x
    x = 1,377,883.06/1,876.20
  6. Step 6: Final answer
    x = 734.40

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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.