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Finding the Fourth Proportional to 7,346.98, 10,138.72 and 4,202.56

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Solution

The fourth proportional to 7,346.98, 10,138.72 and 4,202.56 is: 5,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.98 : 10,138.72 = 4,202.56 : x
  2. Step 2: Convert to fraction form
    7,346.98/10,138.72 = 4,202.56/x
  3. Step 3: Cross multiply
    7,346.98x = 10,138.72 × 4,202.56
  4. Step 4: Simplify right side
    7,346.98x = 42,608,507.42
  5. Step 5: Solve for x
    x = 42,608,507.42/7,346.98
  6. Step 6: Final answer
    x = 5,799.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.