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Finding the Fourth Proportional to 1,747.07, 2,410.99 and 961.11

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Solution

The fourth proportional to 1,747.07, 2,410.99 and 961.11 is: 1,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.07 : 2,410.99 = 961.11 : x
  2. Step 2: Convert to fraction form
    1,747.07/2,410.99 = 961.11/x
  3. Step 3: Cross multiply
    1,747.07x = 2,410.99 × 961.11
  4. Step 4: Simplify right side
    1,747.07x = 2,317,221.79
  5. Step 5: Solve for x
    x = 2,317,221.79/1,747.07
  6. Step 6: Final answer
    x = 1,326.35

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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.