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Finding the Fourth Proportional to 3,917.60, 5,405.74 and 2,238.74

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Solution

The fourth proportional to 3,917.60, 5,405.74 and 2,238.74 is: 3,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.60 : 5,405.74 = 2,238.74 : x
  2. Step 2: Convert to fraction form
    3,917.60/5,405.74 = 2,238.74/x
  3. Step 3: Cross multiply
    3,917.60x = 5,405.74 × 2,238.74
  4. Step 4: Simplify right side
    3,917.60x = 12,102,034.01
  5. Step 5: Solve for x
    x = 12,102,034.01/3,917.60
  6. Step 6: Final answer
    x = 3,089.15

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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.