Home / 2,565.87-3,540.65-1,571.43

Finding the Fourth Proportional to 2,565.87, 3,540.65 and 1,571.43

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Solution

The fourth proportional to 2,565.87, 3,540.65 and 1,571.43 is: 2,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.87 : 3,540.65 = 1,571.43 : x
  2. Step 2: Convert to fraction form
    2,565.87/3,540.65 = 1,571.43/x
  3. Step 3: Cross multiply
    2,565.87x = 3,540.65 × 1,571.43
  4. Step 4: Simplify right side
    2,565.87x = 5,563,875.77
  5. Step 5: Solve for x
    x = 5,563,875.77/2,565.87
  6. Step 6: Final answer
    x = 2,168.42

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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.