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Finding the Fourth Proportional to 5,243.78, 7,868.80 and 1,959.18

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Solution

The fourth proportional to 5,243.78, 7,868.80 and 1,959.18 is: 2,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.78 : 7,868.80 = 1,959.18 : x
  2. Step 2: Convert to fraction form
    5,243.78/7,868.80 = 1,959.18/x
  3. Step 3: Cross multiply
    5,243.78x = 7,868.80 × 1,959.18
  4. Step 4: Simplify right side
    5,243.78x = 15,416,395.58
  5. Step 5: Solve for x
    x = 15,416,395.58/5,243.78
  6. Step 6: Final answer
    x = 2,939.94

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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.