Home / 2,824.29-3,897.75-1,565.47

Finding the Fourth Proportional to 2,824.29, 3,897.75 and 1,565.47

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Solution

The fourth proportional to 2,824.29, 3,897.75 and 1,565.47 is: 2,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.29 : 3,897.75 = 1,565.47 : x
  2. Step 2: Convert to fraction form
    2,824.29/3,897.75 = 1,565.47/x
  3. Step 3: Cross multiply
    2,824.29x = 3,897.75 × 1,565.47
  4. Step 4: Simplify right side
    2,824.29x = 6,101,810.69
  5. Step 5: Solve for x
    x = 6,101,810.69/2,824.29
  6. Step 6: Final answer
    x = 2,160.48

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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.