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Finding the Fourth Proportional to 3,665.80, 5,058.80 and 1,987.20

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Solution

The fourth proportional to 3,665.80, 5,058.80 and 1,987.20 is: 2,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.80 : 5,058.80 = 1,987.20 : x
  2. Step 2: Convert to fraction form
    3,665.80/5,058.80 = 1,987.20/x
  3. Step 3: Cross multiply
    3,665.80x = 5,058.80 × 1,987.20
  4. Step 4: Simplify right side
    3,665.80x = 10,052,847.36
  5. Step 5: Solve for x
    x = 10,052,847.36/3,665.80
  6. Step 6: Final answer
    x = 2,742.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.