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Finding the Fourth Proportional to 3,878.67, 5,814.58 and 1,540.32

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Solution

The fourth proportional to 3,878.67, 5,814.58 and 1,540.32 is: 2,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.67 : 5,814.58 = 1,540.32 : x
  2. Step 2: Convert to fraction form
    3,878.67/5,814.58 = 1,540.32/x
  3. Step 3: Cross multiply
    3,878.67x = 5,814.58 × 1,540.32
  4. Step 4: Simplify right side
    3,878.67x = 8,956,313.87
  5. Step 5: Solve for x
    x = 8,956,313.87/3,878.67
  6. Step 6: Final answer
    x = 2,309.12

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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.