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Finding the Fourth Proportional to 2,756.41, 4,134.65 and 808.65

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Solution

The fourth proportional to 2,756.41, 4,134.65 and 808.65 is: 1,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.41 : 4,134.65 = 808.65 : x
  2. Step 2: Convert to fraction form
    2,756.41/4,134.65 = 808.65/x
  3. Step 3: Cross multiply
    2,756.41x = 4,134.65 × 808.65
  4. Step 4: Simplify right side
    2,756.41x = 3,343,480.68
  5. Step 5: Solve for x
    x = 3,343,480.68/2,756.41
  6. Step 6: Final answer
    x = 1,212.98

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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.