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Finding the Fourth Proportional to 5,364.12, 7,404.30 and 3,378

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Solution

The fourth proportional to 5,364.12, 7,404.30 and 3,378 is: 4,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.12 : 7,404.30 = 3,378 : x
  2. Step 2: Convert to fraction form
    5,364.12/7,404.30 = 3,378/x
  3. Step 3: Cross multiply
    5,364.12x = 7,404.30 × 3,378
  4. Step 4: Simplify right side
    5,364.12x = 25,011,725.40
  5. Step 5: Solve for x
    x = 25,011,725.40/5,364.12
  6. Step 6: Final answer
    x = 4,662.78

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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.