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Finding the Fourth Proportional to 1,897.92, 2,847.42 and 1,378.44

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Solution

The fourth proportional to 1,897.92, 2,847.42 and 1,378.44 is: 2,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.92 : 2,847.42 = 1,378.44 : x
  2. Step 2: Convert to fraction form
    1,897.92/2,847.42 = 1,378.44/x
  3. Step 3: Cross multiply
    1,897.92x = 2,847.42 × 1,378.44
  4. Step 4: Simplify right side
    1,897.92x = 3,924,997.62
  5. Step 5: Solve for x
    x = 3,924,997.62/1,897.92
  6. Step 6: Final answer
    x = 2,068.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.