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Finding the Fourth Proportional to 3,402.84, 4,697.10 and 2,005.50

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Solution

The fourth proportional to 3,402.84, 4,697.10 and 2,005.50 is: 2,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 4,697.10 = 2,005.50 : x
  2. Step 2: Convert to fraction form
    3,402.84/4,697.10 = 2,005.50/x
  3. Step 3: Cross multiply
    3,402.84x = 4,697.10 × 2,005.50
  4. Step 4: Simplify right side
    3,402.84x = 9,420,034.05
  5. Step 5: Solve for x
    x = 9,420,034.05/3,402.84
  6. Step 6: Final answer
    x = 2,768.29

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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.