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Finding the Fourth Proportional to 3,987.16, 5,972.54 and 2,339.74

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Solution

The fourth proportional to 3,987.16, 5,972.54 and 2,339.74 is: 3,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.16 : 5,972.54 = 2,339.74 : x
  2. Step 2: Convert to fraction form
    3,987.16/5,972.54 = 2,339.74/x
  3. Step 3: Cross multiply
    3,987.16x = 5,972.54 × 2,339.74
  4. Step 4: Simplify right side
    3,987.16x = 13,974,190.74
  5. Step 5: Solve for x
    x = 13,974,190.74/3,987.16
  6. Step 6: Final answer
    x = 3,504.80

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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.