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Finding the Fourth Proportional to 4,951, 7,420 and 2,760.76

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Solution

The fourth proportional to 4,951, 7,420 and 2,760.76 is: 4,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951 : 7,420 = 2,760.76 : x
  2. Step 2: Convert to fraction form
    4,951/7,420 = 2,760.76/x
  3. Step 3: Cross multiply
    4,951x = 7,420 × 2,760.76
  4. Step 4: Simplify right side
    4,951x = 20,484,839.20
  5. Step 5: Solve for x
    x = 20,484,839.20/4,951
  6. Step 6: Final answer
    x = 4,137.52

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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.