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Finding the Fourth Proportional to 3,520, 4,857.78 and 2,122.84

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Solution

The fourth proportional to 3,520, 4,857.78 and 2,122.84 is: 2,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520 : 4,857.78 = 2,122.84 : x
  2. Step 2: Convert to fraction form
    3,520/4,857.78 = 2,122.84/x
  3. Step 3: Cross multiply
    3,520x = 4,857.78 × 2,122.84
  4. Step 4: Simplify right side
    3,520x = 10,312,289.70
  5. Step 5: Solve for x
    x = 10,312,289.70/3,520
  6. Step 6: Final answer
    x = 2,929.63

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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.