Home / 1,747.82-2,411.70-1,159.22

Finding the Fourth Proportional to 1,747.82, 2,411.70 and 1,159.22

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Solution

The fourth proportional to 1,747.82, 2,411.70 and 1,159.22 is: 1,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.82 : 2,411.70 = 1,159.22 : x
  2. Step 2: Convert to fraction form
    1,747.82/2,411.70 = 1,159.22/x
  3. Step 3: Cross multiply
    1,747.82x = 2,411.70 × 1,159.22
  4. Step 4: Simplify right side
    1,747.82x = 2,795,690.87
  5. Step 5: Solve for x
    x = 2,795,690.87/1,747.82
  6. Step 6: Final answer
    x = 1,599.53

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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.