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Finding the Fourth Proportional to 2,756.62, 4,134.12 and 808.57

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Solution

The fourth proportional to 2,756.62, 4,134.12 and 808.57 is: 1,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.62 : 4,134.12 = 808.57 : x
  2. Step 2: Convert to fraction form
    2,756.62/4,134.12 = 808.57/x
  3. Step 3: Cross multiply
    2,756.62x = 4,134.12 × 808.57
  4. Step 4: Simplify right side
    2,756.62x = 3,342,725.41
  5. Step 5: Solve for x
    x = 3,342,725.41/2,756.62
  6. Step 6: Final answer
    x = 1,212.62

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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.