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Finding the Fourth Proportional to 4,942.79, 7,405.98 and 3,478.87

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Solution

The fourth proportional to 4,942.79, 7,405.98 and 3,478.87 is: 5,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.79 : 7,405.98 = 3,478.87 : x
  2. Step 2: Convert to fraction form
    4,942.79/7,405.98 = 3,478.87/x
  3. Step 3: Cross multiply
    4,942.79x = 7,405.98 × 3,478.87
  4. Step 4: Simplify right side
    4,942.79x = 25,764,423.13
  5. Step 5: Solve for x
    x = 25,764,423.13/4,942.79
  6. Step 6: Final answer
    x = 5,212.53

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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.