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Finding the Fourth Proportional to 2,353.92, 3,536 and 1,989.44

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Solution

The fourth proportional to 2,353.92, 3,536 and 1,989.44 is: 2,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.92 : 3,536 = 1,989.44 : x
  2. Step 2: Convert to fraction form
    2,353.92/3,536 = 1,989.44/x
  3. Step 3: Cross multiply
    2,353.92x = 3,536 × 1,989.44
  4. Step 4: Simplify right side
    2,353.92x = 7,034,659.84
  5. Step 5: Solve for x
    x = 7,034,659.84/2,353.92
  6. Step 6: Final answer
    x = 2,988.49

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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.