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Finding the Fourth Proportional to 1,801.54, 2,698.21 and 1,254.13

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Solution

The fourth proportional to 1,801.54, 2,698.21 and 1,254.13 is: 1,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.54 : 2,698.21 = 1,254.13 : x
  2. Step 2: Convert to fraction form
    1,801.54/2,698.21 = 1,254.13/x
  3. Step 3: Cross multiply
    1,801.54x = 2,698.21 × 1,254.13
  4. Step 4: Simplify right side
    1,801.54x = 3,383,916.11
  5. Step 5: Solve for x
    x = 3,383,916.11/1,801.54
  6. Step 6: Final answer
    x = 1,878.35

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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.