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Finding the Fourth Proportional to 7,372.23, 10,172.04 and 4,228.42

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Solution

The fourth proportional to 7,372.23, 10,172.04 and 4,228.42 is: 5,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,372.23 : 10,172.04 = 4,228.42 : x
  2. Step 2: Convert to fraction form
    7,372.23/10,172.04 = 4,228.42/x
  3. Step 3: Cross multiply
    7,372.23x = 10,172.04 × 4,228.42
  4. Step 4: Simplify right side
    7,372.23x = 43,011,657.38
  5. Step 5: Solve for x
    x = 43,011,657.38/7,372.23
  6. Step 6: Final answer
    x = 5,834.28

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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.