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Finding the Fourth Proportional to 2,986.54, 4,478.18 and 2,291.48

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Solution

The fourth proportional to 2,986.54, 4,478.18 and 2,291.48 is: 3,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.54 : 4,478.18 = 2,291.48 : x
  2. Step 2: Convert to fraction form
    2,986.54/4,478.18 = 2,291.48/x
  3. Step 3: Cross multiply
    2,986.54x = 4,478.18 × 2,291.48
  4. Step 4: Simplify right side
    2,986.54x = 10,261,659.91
  5. Step 5: Solve for x
    x = 10,261,659.91/2,986.54
  6. Step 6: Final answer
    x = 3,435.97

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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.