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Finding the Fourth Proportional to 3,987.06, 5,502.10 and 2,194.48

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Solution

The fourth proportional to 3,987.06, 5,502.10 and 2,194.48 is: 3,028.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.06 : 5,502.10 = 2,194.48 : x
  2. Step 2: Convert to fraction form
    3,987.06/5,502.10 = 2,194.48/x
  3. Step 3: Cross multiply
    3,987.06x = 5,502.10 × 2,194.48
  4. Step 4: Simplify right side
    3,987.06x = 12,074,209.93
  5. Step 5: Solve for x
    x = 12,074,209.93/3,987.06
  6. Step 6: Final answer
    x = 3,028.35

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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.