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Finding the Fourth Proportional to 2,451.15, 3,670.65 and 1,965.15

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Solution

The fourth proportional to 2,451.15, 3,670.65 and 1,965.15 is: 2,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.15 : 3,670.65 = 1,965.15 : x
  2. Step 2: Convert to fraction form
    2,451.15/3,670.65 = 1,965.15/x
  3. Step 3: Cross multiply
    2,451.15x = 3,670.65 × 1,965.15
  4. Step 4: Simplify right side
    2,451.15x = 7,213,377.85
  5. Step 5: Solve for x
    x = 7,213,377.85/2,451.15
  6. Step 6: Final answer
    x = 2,942.85

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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.