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Finding the Fourth Proportional to 2,986.80, 4,481.52 and 1,040.40

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Solution

The fourth proportional to 2,986.80, 4,481.52 and 1,040.40 is: 1,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.80 : 4,481.52 = 1,040.40 : x
  2. Step 2: Convert to fraction form
    2,986.80/4,481.52 = 1,040.40/x
  3. Step 3: Cross multiply
    2,986.80x = 4,481.52 × 1,040.40
  4. Step 4: Simplify right side
    2,986.80x = 4,662,573.41
  5. Step 5: Solve for x
    x = 4,662,573.41/2,986.80
  6. Step 6: Final answer
    x = 1,561.06

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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.