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Finding the Fourth Proportional to 4,880.54, 6,733.95 and 2,891

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Solution

The fourth proportional to 4,880.54, 6,733.95 and 2,891 is: 3,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.54 : 6,733.95 = 2,891 : x
  2. Step 2: Convert to fraction form
    4,880.54/6,733.95 = 2,891/x
  3. Step 3: Cross multiply
    4,880.54x = 6,733.95 × 2,891
  4. Step 4: Simplify right side
    4,880.54x = 19,467,849.45
  5. Step 5: Solve for x
    x = 19,467,849.45/4,880.54
  6. Step 6: Final answer
    x = 3,988.87

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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.