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Finding the Fourth Proportional to 5,285.78, 7,294.57 and 2,928.14

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Solution

The fourth proportional to 5,285.78, 7,294.57 and 2,928.14 is: 4,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.78 : 7,294.57 = 2,928.14 : x
  2. Step 2: Convert to fraction form
    5,285.78/7,294.57 = 2,928.14/x
  3. Step 3: Cross multiply
    5,285.78x = 7,294.57 × 2,928.14
  4. Step 4: Simplify right side
    5,285.78x = 21,359,522.20
  5. Step 5: Solve for x
    x = 21,359,522.20/5,285.78
  6. Step 6: Final answer
    x = 4,040.94

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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.