Home / 4,922-7,377.92-2,731.76

Finding the Fourth Proportional to 4,922, 7,377.92 and 2,731.76

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Solution

The fourth proportional to 4,922, 7,377.92 and 2,731.76 is: 4,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922 : 7,377.92 = 2,731.76 : x
  2. Step 2: Convert to fraction form
    4,922/7,377.92 = 2,731.76/x
  3. Step 3: Cross multiply
    4,922x = 7,377.92 × 2,731.76
  4. Step 4: Simplify right side
    4,922x = 20,154,706.74
  5. Step 5: Solve for x
    x = 20,154,706.74/4,922
  6. Step 6: Final answer
    x = 4,094.82

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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.