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Finding the Fourth Proportional to 5,243.38, 7,866.44 and 1,956.50

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Solution

The fourth proportional to 5,243.38, 7,866.44 and 1,956.50 is: 2,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.38 : 7,866.44 = 1,956.50 : x
  2. Step 2: Convert to fraction form
    5,243.38/7,866.44 = 1,956.50/x
  3. Step 3: Cross multiply
    5,243.38x = 7,866.44 × 1,956.50
  4. Step 4: Simplify right side
    5,243.38x = 15,390,680.08
  5. Step 5: Solve for x
    x = 15,390,680.08/5,243.38
  6. Step 6: Final answer
    x = 2,935.26

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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.