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Finding the Fourth Proportional to 2,778.98, 4,169.00 and 930.31

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Solution

The fourth proportional to 2,778.98, 4,169.00 and 930.31 is: 1,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.98 : 4,169.00 = 930.31 : x
  2. Step 2: Convert to fraction form
    2,778.98/4,169.00 = 930.31/x
  3. Step 3: Cross multiply
    2,778.98x = 4,169.00 × 930.31
  4. Step 4: Simplify right side
    2,778.98x = 3,878,454.29
  5. Step 5: Solve for x
    x = 3,878,454.29/2,778.98
  6. Step 6: Final answer
    x = 1,395.64

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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.