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Finding the Fourth Proportional to 3,987.82, 5,981.74 and 1,907.34

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Solution

The fourth proportional to 3,987.82, 5,981.74 and 1,907.34 is: 2,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.82 : 5,981.74 = 1,907.34 : x
  2. Step 2: Convert to fraction form
    3,987.82/5,981.74 = 1,907.34/x
  3. Step 3: Cross multiply
    3,987.82x = 5,981.74 × 1,907.34
  4. Step 4: Simplify right side
    3,987.82x = 11,409,211.97
  5. Step 5: Solve for x
    x = 11,409,211.97/3,987.82
  6. Step 6: Final answer
    x = 2,861.01

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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.