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Finding the Fourth Proportional to 3,987.71, 5,981.38 and 1,647.08

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Solution

The fourth proportional to 3,987.71, 5,981.38 and 1,647.08 is: 2,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.71 : 5,981.38 = 1,647.08 : x
  2. Step 2: Convert to fraction form
    3,987.71/5,981.38 = 1,647.08/x
  3. Step 3: Cross multiply
    3,987.71x = 5,981.38 × 1,647.08
  4. Step 4: Simplify right side
    3,987.71x = 9,851,811.37
  5. Step 5: Solve for x
    x = 9,851,811.37/3,987.71
  6. Step 6: Final answer
    x = 2,470.54

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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.