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Finding the Fourth Proportional to 1,947.72, 2,920.42 and 777.92

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Solution

The fourth proportional to 1,947.72, 2,920.42 and 777.92 is: 1,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.72 : 2,920.42 = 777.92 : x
  2. Step 2: Convert to fraction form
    1,947.72/2,920.42 = 777.92/x
  3. Step 3: Cross multiply
    1,947.72x = 2,920.42 × 777.92
  4. Step 4: Simplify right side
    1,947.72x = 2,271,853.13
  5. Step 5: Solve for x
    x = 2,271,853.13/1,947.72
  6. Step 6: Final answer
    x = 1,166.42

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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.