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Finding the Fourth Proportional to 3,874.60, 5,811.80 and 1,535.82

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Solution

The fourth proportional to 3,874.60, 5,811.80 and 1,535.82 is: 2,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.60 : 5,811.80 = 1,535.82 : x
  2. Step 2: Convert to fraction form
    3,874.60/5,811.80 = 1,535.82/x
  3. Step 3: Cross multiply
    3,874.60x = 5,811.80 × 1,535.82
  4. Step 4: Simplify right side
    3,874.60x = 8,925,878.68
  5. Step 5: Solve for x
    x = 8,925,878.68/3,874.60
  6. Step 6: Final answer
    x = 2,303.69

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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.