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Finding the Fourth Proportional to 5,270.28, 7,905.42 and 1,374.72

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Solution

The fourth proportional to 5,270.28, 7,905.42 and 1,374.72 is: 2,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.28 : 7,905.42 = 1,374.72 : x
  2. Step 2: Convert to fraction form
    5,270.28/7,905.42 = 1,374.72/x
  3. Step 3: Cross multiply
    5,270.28x = 7,905.42 × 1,374.72
  4. Step 4: Simplify right side
    5,270.28x = 10,867,738.98
  5. Step 5: Solve for x
    x = 10,867,738.98/5,270.28
  6. Step 6: Final answer
    x = 2,062.08

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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.