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Finding the Fourth Proportional to 4,812.42, 7,224.86 and 4,615

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Solution

The fourth proportional to 4,812.42, 7,224.86 and 4,615 is: 6,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.42 : 7,224.86 = 4,615 : x
  2. Step 2: Convert to fraction form
    4,812.42/7,224.86 = 4,615/x
  3. Step 3: Cross multiply
    4,812.42x = 7,224.86 × 4,615
  4. Step 4: Simplify right side
    4,812.42x = 33,342,728.90
  5. Step 5: Solve for x
    x = 33,342,728.90/4,812.42
  6. Step 6: Final answer
    x = 6,928.47

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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.