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Finding the Fourth Proportional to 1,750, 2,416 and 1,161.34

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Solution

The fourth proportional to 1,750, 2,416 and 1,161.34 is: 1,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750 : 2,416 = 1,161.34 : x
  2. Step 2: Convert to fraction form
    1,750/2,416 = 1,161.34/x
  3. Step 3: Cross multiply
    1,750x = 2,416 × 1,161.34
  4. Step 4: Simplify right side
    1,750x = 2,805,797.44
  5. Step 5: Solve for x
    x = 2,805,797.44/1,750
  6. Step 6: Final answer
    x = 1,603.31

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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.