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Finding the Fourth Proportional to 7,389.54, 10,197.69 and 4,202.76

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Solution

The fourth proportional to 7,389.54, 10,197.69 and 4,202.76 is: 5,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.54 : 10,197.69 = 4,202.76 : x
  2. Step 2: Convert to fraction form
    7,389.54/10,197.69 = 4,202.76/x
  3. Step 3: Cross multiply
    7,389.54x = 10,197.69 × 4,202.76
  4. Step 4: Simplify right side
    7,389.54x = 42,858,443.62
  5. Step 5: Solve for x
    x = 42,858,443.62/7,389.54
  6. Step 6: Final answer
    x = 5,799.88

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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.