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Finding the Fourth Proportional to 2,690, 4,036.68 and 1,151

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Solution

The fourth proportional to 2,690, 4,036.68 and 1,151 is: 1,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690 : 4,036.68 = 1,151 : x
  2. Step 2: Convert to fraction form
    2,690/4,036.68 = 1,151/x
  3. Step 3: Cross multiply
    2,690x = 4,036.68 × 1,151
  4. Step 4: Simplify right side
    2,690x = 4,646,218.68
  5. Step 5: Solve for x
    x = 4,646,218.68/2,690
  6. Step 6: Final answer
    x = 1,727.22

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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.