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Finding the Fourth Proportional to 5,286.48, 7,294.74 and 2,928.02

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Solution

The fourth proportional to 5,286.48, 7,294.74 and 2,928.02 is: 4,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.48 : 7,294.74 = 2,928.02 : x
  2. Step 2: Convert to fraction form
    5,286.48/7,294.74 = 2,928.02/x
  3. Step 3: Cross multiply
    5,286.48x = 7,294.74 × 2,928.02
  4. Step 4: Simplify right side
    5,286.48x = 21,359,144.61
  5. Step 5: Solve for x
    x = 21,359,144.61/5,286.48
  6. Step 6: Final answer
    x = 4,040.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.