Home / 2,564.39-3,840.24-2,103.32

Finding the Fourth Proportional to 2,564.39, 3,840.24 and 2,103.32

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Solution

The fourth proportional to 2,564.39, 3,840.24 and 2,103.32 is: 3,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.39 : 3,840.24 = 2,103.32 : x
  2. Step 2: Convert to fraction form
    2,564.39/3,840.24 = 2,103.32/x
  3. Step 3: Cross multiply
    2,564.39x = 3,840.24 × 2,103.32
  4. Step 4: Simplify right side
    2,564.39x = 8,077,253.60
  5. Step 5: Solve for x
    x = 8,077,253.60/2,564.39
  6. Step 6: Final answer
    x = 3,149.78

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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.