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Finding the Fourth Proportional to 1,294.97, 1,928.82 and 1,267.97

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Solution

The fourth proportional to 1,294.97, 1,928.82 and 1,267.97 is: 1,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.97 : 1,928.82 = 1,267.97 : x
  2. Step 2: Convert to fraction form
    1,294.97/1,928.82 = 1,267.97/x
  3. Step 3: Cross multiply
    1,294.97x = 1,928.82 × 1,267.97
  4. Step 4: Simplify right side
    1,294.97x = 2,445,693.09
  5. Step 5: Solve for x
    x = 2,445,693.09/1,294.97
  6. Step 6: Final answer
    x = 1,888.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.