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Finding the Fourth Proportional to 2,447.77, 3,378.15 and 1,609.15

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Solution

The fourth proportional to 2,447.77, 3,378.15 and 1,609.15 is: 2,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.77 : 3,378.15 = 1,609.15 : x
  2. Step 2: Convert to fraction form
    2,447.77/3,378.15 = 1,609.15/x
  3. Step 3: Cross multiply
    2,447.77x = 3,378.15 × 1,609.15
  4. Step 4: Simplify right side
    2,447.77x = 5,435,950.07
  5. Step 5: Solve for x
    x = 5,435,950.07/2,447.77
  6. Step 6: Final answer
    x = 2,220.78

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Half scale
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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.