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Finding the Fourth Proportional to 3,987.84, 5,979.34 and 1,522.84

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Solution

The fourth proportional to 3,987.84, 5,979.34 and 1,522.84 is: 2,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.84 : 5,979.34 = 1,522.84 : x
  2. Step 2: Convert to fraction form
    3,987.84/5,979.34 = 1,522.84/x
  3. Step 3: Cross multiply
    3,987.84x = 5,979.34 × 1,522.84
  4. Step 4: Simplify right side
    3,987.84x = 9,105,578.13
  5. Step 5: Solve for x
    x = 9,105,578.13/3,987.84
  6. Step 6: Final answer
    x = 2,283.34

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1.5x scale

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.