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Finding the Fourth Proportional to 3,989.80, 5,504.86 and 2,221

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Solution

The fourth proportional to 3,989.80, 5,504.86 and 2,221 is: 3,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.80 : 5,504.86 = 2,221 : x
  2. Step 2: Convert to fraction form
    3,989.80/5,504.86 = 2,221/x
  3. Step 3: Cross multiply
    3,989.80x = 5,504.86 × 2,221
  4. Step 4: Simplify right side
    3,989.80x = 12,226,294.06
  5. Step 5: Solve for x
    x = 12,226,294.06/3,989.80
  6. Step 6: Final answer
    x = 3,064.39

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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.