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Finding the Fourth Proportional to 3,981.84, 5,494.86 and 2,213.40

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Solution

The fourth proportional to 3,981.84, 5,494.86 and 2,213.40 is: 3,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.84 : 5,494.86 = 2,213.40 : x
  2. Step 2: Convert to fraction form
    3,981.84/5,494.86 = 2,213.40/x
  3. Step 3: Cross multiply
    3,981.84x = 5,494.86 × 2,213.40
  4. Step 4: Simplify right side
    3,981.84x = 12,162,323.12
  5. Step 5: Solve for x
    x = 12,162,323.12/3,981.84
  6. Step 6: Final answer
    x = 3,054.45

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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.