Home / 2,565.88-3,540.26-1,570.80

Finding the Fourth Proportional to 2,565.88, 3,540.26 and 1,570.80

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Solution

The fourth proportional to 2,565.88, 3,540.26 and 1,570.80 is: 2,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.88 : 3,540.26 = 1,570.80 : x
  2. Step 2: Convert to fraction form
    2,565.88/3,540.26 = 1,570.80/x
  3. Step 3: Cross multiply
    2,565.88x = 3,540.26 × 1,570.80
  4. Step 4: Simplify right side
    2,565.88x = 5,561,040.41
  5. Step 5: Solve for x
    x = 5,561,040.41/2,565.88
  6. Step 6: Final answer
    x = 2,167.30

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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.