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Finding the Fourth Proportional to 2,717.65, 4,076 and 1,236.53

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Solution

The fourth proportional to 2,717.65, 4,076 and 1,236.53 is: 1,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.65 : 4,076 = 1,236.53 : x
  2. Step 2: Convert to fraction form
    2,717.65/4,076 = 1,236.53/x
  3. Step 3: Cross multiply
    2,717.65x = 4,076 × 1,236.53
  4. Step 4: Simplify right side
    2,717.65x = 5,040,096.28
  5. Step 5: Solve for x
    x = 5,040,096.28/2,717.65
  6. Step 6: Final answer
    x = 1,854.58

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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.