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Finding the Fourth Proportional to 1,752.56, 2,418.32 and 1,162

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Solution

The fourth proportional to 1,752.56, 2,418.32 and 1,162 is: 1,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.56 : 2,418.32 = 1,162 : x
  2. Step 2: Convert to fraction form
    1,752.56/2,418.32 = 1,162/x
  3. Step 3: Cross multiply
    1,752.56x = 2,418.32 × 1,162
  4. Step 4: Simplify right side
    1,752.56x = 2,810,087.84
  5. Step 5: Solve for x
    x = 2,810,087.84/1,752.56
  6. Step 6: Final answer
    x = 1,603.42

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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.