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Finding the Fourth Proportional to 2,767.68, 4,152 and 1,036.80

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Solution

The fourth proportional to 2,767.68, 4,152 and 1,036.80 is: 1,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.68 : 4,152 = 1,036.80 : x
  2. Step 2: Convert to fraction form
    2,767.68/4,152 = 1,036.80/x
  3. Step 3: Cross multiply
    2,767.68x = 4,152 × 1,036.80
  4. Step 4: Simplify right side
    2,767.68x = 4,304,793.60
  5. Step 5: Solve for x
    x = 4,304,793.60/2,767.68
  6. Step 6: Final answer
    x = 1,555.38

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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.