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Finding the Fourth Proportional to 1,928.87, 2,893.27 and 1,490.76

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Solution

The fourth proportional to 1,928.87, 2,893.27 and 1,490.76 is: 2,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.87 : 2,893.27 = 1,490.76 : x
  2. Step 2: Convert to fraction form
    1,928.87/2,893.27 = 1,490.76/x
  3. Step 3: Cross multiply
    1,928.87x = 2,893.27 × 1,490.76
  4. Step 4: Simplify right side
    1,928.87x = 4,313,171.19
  5. Step 5: Solve for x
    x = 4,313,171.19/1,928.87
  6. Step 6: Final answer
    x = 2,236.11

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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.