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Finding the Fourth Proportional to 3,985.49, 5,980.67 and 3,742.49

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Solution

The fourth proportional to 3,985.49, 5,980.67 and 3,742.49 is: 5,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.49 : 5,980.67 = 3,742.49 : x
  2. Step 2: Convert to fraction form
    3,985.49/5,980.67 = 3,742.49/x
  3. Step 3: Cross multiply
    3,985.49x = 5,980.67 × 3,742.49
  4. Step 4: Simplify right side
    3,985.49x = 22,382,549.05
  5. Step 5: Solve for x
    x = 22,382,549.05/3,985.49
  6. Step 6: Final answer
    x = 5,616.02

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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.