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Finding the Fourth Proportional to 1,540.62, 2,125.54 and 911.35

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Solution

The fourth proportional to 1,540.62, 2,125.54 and 911.35 is: 1,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.62 : 2,125.54 = 911.35 : x
  2. Step 2: Convert to fraction form
    1,540.62/2,125.54 = 911.35/x
  3. Step 3: Cross multiply
    1,540.62x = 2,125.54 × 911.35
  4. Step 4: Simplify right side
    1,540.62x = 1,937,114.68
  5. Step 5: Solve for x
    x = 1,937,114.68/1,540.62
  6. Step 6: Final answer
    x = 1,257.36

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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.