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Finding the Fourth Proportional to 2,782.65, 4,172.76 and 834.48

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Solution

The fourth proportional to 2,782.65, 4,172.76 and 834.48 is: 1,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.65 : 4,172.76 = 834.48 : x
  2. Step 2: Convert to fraction form
    2,782.65/4,172.76 = 834.48/x
  3. Step 3: Cross multiply
    2,782.65x = 4,172.76 × 834.48
  4. Step 4: Simplify right side
    2,782.65x = 3,482,084.76
  5. Step 5: Solve for x
    x = 3,482,084.76/2,782.65
  6. Step 6: Final answer
    x = 1,251.36

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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.