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Finding the Fourth Proportional to 1,947.78, 2,920.89 and 851.40

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Solution

The fourth proportional to 1,947.78, 2,920.89 and 851.40 is: 1,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.78 : 2,920.89 = 851.40 : x
  2. Step 2: Convert to fraction form
    1,947.78/2,920.89 = 851.40/x
  3. Step 3: Cross multiply
    1,947.78x = 2,920.89 × 851.40
  4. Step 4: Simplify right side
    1,947.78x = 2,486,845.75
  5. Step 5: Solve for x
    x = 2,486,845.75/1,947.78
  6. Step 6: Final answer
    x = 1,276.76

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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.