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Finding the Fourth Proportional to 4,924.80, 7,390.80 and 3,838.50

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Solution

The fourth proportional to 4,924.80, 7,390.80 and 3,838.50 is: 5,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.80 : 7,390.80 = 3,838.50 : x
  2. Step 2: Convert to fraction form
    4,924.80/7,390.80 = 3,838.50/x
  3. Step 3: Cross multiply
    4,924.80x = 7,390.80 × 3,838.50
  4. Step 4: Simplify right side
    4,924.80x = 28,369,585.80
  5. Step 5: Solve for x
    x = 28,369,585.80/4,924.80
  6. Step 6: Final answer
    x = 5,760.56

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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.