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Finding the Fourth Proportional to 3,981.64, 5,976.10 and 2,134.84

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Solution

The fourth proportional to 3,981.64, 5,976.10 and 2,134.84 is: 3,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.64 : 5,976.10 = 2,134.84 : x
  2. Step 2: Convert to fraction form
    3,981.64/5,976.10 = 2,134.84/x
  3. Step 3: Cross multiply
    3,981.64x = 5,976.10 × 2,134.84
  4. Step 4: Simplify right side
    3,981.64x = 12,758,017.32
  5. Step 5: Solve for x
    x = 12,758,017.32/3,981.64
  6. Step 6: Final answer
    x = 3,204.21

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1.5x scale

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.