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Finding the Fourth Proportional to 2,691.05, 4,036.78 and 716.68

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Solution

The fourth proportional to 2,691.05, 4,036.78 and 716.68 is: 1,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.05 : 4,036.78 = 716.68 : x
  2. Step 2: Convert to fraction form
    2,691.05/4,036.78 = 716.68/x
  3. Step 3: Cross multiply
    2,691.05x = 4,036.78 × 716.68
  4. Step 4: Simplify right side
    2,691.05x = 2,893,085.43
  5. Step 5: Solve for x
    x = 2,893,085.43/2,691.05
  6. Step 6: Final answer
    x = 1,075.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.