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Finding the Fourth Proportional to 3,987.58, 5,980.89 and 2,322.64

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Solution

The fourth proportional to 3,987.58, 5,980.89 and 2,322.64 is: 3,483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.58 : 5,980.89 = 2,322.64 : x
  2. Step 2: Convert to fraction form
    3,987.58/5,980.89 = 2,322.64/x
  3. Step 3: Cross multiply
    3,987.58x = 5,980.89 × 2,322.64
  4. Step 4: Simplify right side
    3,987.58x = 13,891,454.35
  5. Step 5: Solve for x
    x = 13,891,454.35/3,987.58
  6. Step 6: Final answer
    x = 3,483.68

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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.