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Finding the Fourth Proportional to 3,740.90, 5,600.86 and 1,981.92

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Solution

The fourth proportional to 3,740.90, 5,600.86 and 1,981.92 is: 2,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.90 : 5,600.86 = 1,981.92 : x
  2. Step 2: Convert to fraction form
    3,740.90/5,600.86 = 1,981.92/x
  3. Step 3: Cross multiply
    3,740.90x = 5,600.86 × 1,981.92
  4. Step 4: Simplify right side
    3,740.90x = 11,100,472.50
  5. Step 5: Solve for x
    x = 11,100,472.50/3,740.90
  6. Step 6: Final answer
    x = 2,967.33

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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.