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Finding the Fourth Proportional to 4,911.84, 6,774.84 and 3,020.95

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Solution

The fourth proportional to 4,911.84, 6,774.84 and 3,020.95 is: 4,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.84 : 6,774.84 = 3,020.95 : x
  2. Step 2: Convert to fraction form
    4,911.84/6,774.84 = 3,020.95/x
  3. Step 3: Cross multiply
    4,911.84x = 6,774.84 × 3,020.95
  4. Step 4: Simplify right side
    4,911.84x = 20,466,452.90
  5. Step 5: Solve for x
    x = 20,466,452.90/4,911.84
  6. Step 6: Final answer
    x = 4,166.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.