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Finding the Fourth Proportional to 3,981.40, 5,964.90 and 3,405.40

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Solution

The fourth proportional to 3,981.40, 5,964.90 and 3,405.40 is: 5,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.40 : 5,964.90 = 3,405.40 : x
  2. Step 2: Convert to fraction form
    3,981.40/5,964.90 = 3,405.40/x
  3. Step 3: Cross multiply
    3,981.40x = 5,964.90 × 3,405.40
  4. Step 4: Simplify right side
    3,981.40x = 20,312,870.46
  5. Step 5: Solve for x
    x = 20,312,870.46/3,981.40
  6. Step 6: Final answer
    x = 5,101.94

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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.