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Finding the Fourth Proportional to 4,869.72, 7,299.36 and 3,478.84

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Solution

The fourth proportional to 4,869.72, 7,299.36 and 3,478.84 is: 5,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.72 : 7,299.36 = 3,478.84 : x
  2. Step 2: Convert to fraction form
    4,869.72/7,299.36 = 3,478.84/x
  3. Step 3: Cross multiply
    4,869.72x = 7,299.36 × 3,478.84
  4. Step 4: Simplify right side
    4,869.72x = 25,393,287.29
  5. Step 5: Solve for x
    x = 25,393,287.29/4,869.72
  6. Step 6: Final answer
    x = 5,214.53

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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.