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Finding the Fourth Proportional to 5,260.95, 7,892.17 and 1,928.78

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Solution

The fourth proportional to 5,260.95, 7,892.17 and 1,928.78 is: 2,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.95 : 7,892.17 = 1,928.78 : x
  2. Step 2: Convert to fraction form
    5,260.95/7,892.17 = 1,928.78/x
  3. Step 3: Cross multiply
    5,260.95x = 7,892.17 × 1,928.78
  4. Step 4: Simplify right side
    5,260.95x = 15,222,244.97
  5. Step 5: Solve for x
    x = 15,222,244.97/5,260.95
  6. Step 6: Final answer
    x = 2,893.44

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1.5x scale

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.