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Finding the Fourth Proportional to 5,414.72, 8,123.36 and 1,952

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Solution

The fourth proportional to 5,414.72, 8,123.36 and 1,952 is: 2,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.72 : 8,123.36 = 1,952 : x
  2. Step 2: Convert to fraction form
    5,414.72/8,123.36 = 1,952/x
  3. Step 3: Cross multiply
    5,414.72x = 8,123.36 × 1,952
  4. Step 4: Simplify right side
    5,414.72x = 15,856,798.72
  5. Step 5: Solve for x
    x = 15,856,798.72/5,414.72
  6. Step 6: Final answer
    x = 2,928.46

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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.