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Finding the Fourth Proportional to 2,778.48, 4,168.42 and 830.68

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Solution

The fourth proportional to 2,778.48, 4,168.42 and 830.68 is: 1,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.48 : 4,168.42 = 830.68 : x
  2. Step 2: Convert to fraction form
    2,778.48/4,168.42 = 830.68/x
  3. Step 3: Cross multiply
    2,778.48x = 4,168.42 × 830.68
  4. Step 4: Simplify right side
    2,778.48x = 3,462,610.63
  5. Step 5: Solve for x
    x = 3,462,610.63/2,778.48
  6. Step 6: Final answer
    x = 1,246.22

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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.