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Finding the Fourth Proportional to 1,275.97, 1,910.38 and 1,040.29

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Solution

The fourth proportional to 1,275.97, 1,910.38 and 1,040.29 is: 1,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.97 : 1,910.38 = 1,040.29 : x
  2. Step 2: Convert to fraction form
    1,275.97/1,910.38 = 1,040.29/x
  3. Step 3: Cross multiply
    1,275.97x = 1,910.38 × 1,040.29
  4. Step 4: Simplify right side
    1,275.97x = 1,987,349.21
  5. Step 5: Solve for x
    x = 1,987,349.21/1,275.97
  6. Step 6: Final answer
    x = 1,557.52

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1.5x scale

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.