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Finding the Fourth Proportional to 3,974.80, 5,482.80 and 2,558

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Solution

The fourth proportional to 3,974.80, 5,482.80 and 2,558 is: 3,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.80 : 5,482.80 = 2,558 : x
  2. Step 2: Convert to fraction form
    3,974.80/5,482.80 = 2,558/x
  3. Step 3: Cross multiply
    3,974.80x = 5,482.80 × 2,558
  4. Step 4: Simplify right side
    3,974.80x = 14,025,002.40
  5. Step 5: Solve for x
    x = 14,025,002.40/3,974.80
  6. Step 6: Final answer
    x = 3,528.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.