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Finding the Fourth Proportional to 2,761.80, 4,144.30 and 1,030.60

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Solution

The fourth proportional to 2,761.80, 4,144.30 and 1,030.60 is: 1,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.80 : 4,144.30 = 1,030.60 : x
  2. Step 2: Convert to fraction form
    2,761.80/4,144.30 = 1,030.60/x
  3. Step 3: Cross multiply
    2,761.80x = 4,144.30 × 1,030.60
  4. Step 4: Simplify right side
    2,761.80x = 4,271,115.58
  5. Step 5: Solve for x
    x = 4,271,115.58/2,761.80
  6. Step 6: Final answer
    x = 1,546.50

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1.5x scale

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.