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Finding the Fourth Proportional to 3,225.76, 4,835.05 and 1,378.42

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Solution

The fourth proportional to 3,225.76, 4,835.05 and 1,378.42 is: 2,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.76 : 4,835.05 = 1,378.42 : x
  2. Step 2: Convert to fraction form
    3,225.76/4,835.05 = 1,378.42/x
  3. Step 3: Cross multiply
    3,225.76x = 4,835.05 × 1,378.42
  4. Step 4: Simplify right side
    3,225.76x = 6,664,729.62
  5. Step 5: Solve for x
    x = 6,664,729.62/3,225.76
  6. Step 6: Final answer
    x = 2,066.10

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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.