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Finding the Fourth Proportional to 3,478.74, 4,798.17 and 2,218.50

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Solution

The fourth proportional to 3,478.74, 4,798.17 and 2,218.50 is: 3,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.74 : 4,798.17 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    3,478.74/4,798.17 = 2,218.50/x
  3. Step 3: Cross multiply
    3,478.74x = 4,798.17 × 2,218.50
  4. Step 4: Simplify right side
    3,478.74x = 10,644,740.15
  5. Step 5: Solve for x
    x = 10,644,740.15/3,478.74
  6. Step 6: Final answer
    x = 3,059.94

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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.