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Finding the Fourth Proportional to 2,451.20, 3,311.55 and 2,451.20

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Solution

The fourth proportional to 2,451.20, 3,311.55 and 2,451.20 is: 3,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.20 : 3,311.55 = 2,451.20 : x
  2. Step 2: Convert to fraction form
    2,451.20/3,311.55 = 2,451.20/x
  3. Step 3: Cross multiply
    2,451.20x = 3,311.55 × 2,451.20
  4. Step 4: Simplify right side
    2,451.20x = 8,117,271.36
  5. Step 5: Solve for x
    x = 8,117,271.36/2,451.20
  6. Step 6: Final answer
    x = 3,311.55

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.