Home / 2,561.81-3,534.05-1,565.36

Finding the Fourth Proportional to 2,561.81, 3,534.05 and 1,565.36

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Solution

The fourth proportional to 2,561.81, 3,534.05 and 1,565.36 is: 2,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.81 : 3,534.05 = 1,565.36 : x
  2. Step 2: Convert to fraction form
    2,561.81/3,534.05 = 1,565.36/x
  3. Step 3: Cross multiply
    2,561.81x = 3,534.05 × 1,565.36
  4. Step 4: Simplify right side
    2,561.81x = 5,532,046.75
  5. Step 5: Solve for x
    x = 5,532,046.75/2,561.81
  6. Step 6: Final answer
    x = 2,159.43

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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.