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Finding the Fourth Proportional to 2,569.12, 3,854.20 and 837.28

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Solution

The fourth proportional to 2,569.12, 3,854.20 and 837.28 is: 1,256.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.12 : 3,854.20 = 837.28 : x
  2. Step 2: Convert to fraction form
    2,569.12/3,854.20 = 837.28/x
  3. Step 3: Cross multiply
    2,569.12x = 3,854.20 × 837.28
  4. Step 4: Simplify right side
    2,569.12x = 3,227,044.58
  5. Step 5: Solve for x
    x = 3,227,044.58/2,569.12
  6. Step 6: Final answer
    x = 1,256.09

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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.