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Finding the Fourth Proportional to 7,372, 10,173.36 and 4,228.39

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Solution

The fourth proportional to 7,372, 10,173.36 and 4,228.39 is: 5,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,372 : 10,173.36 = 4,228.39 : x
  2. Step 2: Convert to fraction form
    7,372/10,173.36 = 4,228.39/x
  3. Step 3: Cross multiply
    7,372x = 10,173.36 × 4,228.39
  4. Step 4: Simplify right side
    7,372x = 43,016,933.69
  5. Step 5: Solve for x
    x = 43,016,933.69/7,372
  6. Step 6: Final answer
    x = 5,835.18

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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.