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Finding the Fourth Proportional to 1,947.87, 2,920.62 and 778.05

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Solution

The fourth proportional to 1,947.87, 2,920.62 and 778.05 is: 1,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.87 : 2,920.62 = 778.05 : x
  2. Step 2: Convert to fraction form
    1,947.87/2,920.62 = 778.05/x
  3. Step 3: Cross multiply
    1,947.87x = 2,920.62 × 778.05
  4. Step 4: Simplify right side
    1,947.87x = 2,272,388.39
  5. Step 5: Solve for x
    x = 2,272,388.39/1,947.87
  6. Step 6: Final answer
    x = 1,166.60

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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.