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Finding the Fourth Proportional to 4,797.76, 7,180.32 and 2,947.90

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Solution

The fourth proportional to 4,797.76, 7,180.32 and 2,947.90 is: 4,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.76 : 7,180.32 = 2,947.90 : x
  2. Step 2: Convert to fraction form
    4,797.76/7,180.32 = 2,947.90/x
  3. Step 3: Cross multiply
    4,797.76x = 7,180.32 × 2,947.90
  4. Step 4: Simplify right side
    4,797.76x = 21,166,865.33
  5. Step 5: Solve for x
    x = 21,166,865.33/4,797.76
  6. Step 6: Final answer
    x = 4,411.82

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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.