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Finding the Fourth Proportional to 7,574.73, 10,447.20 and 4,923

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Solution

The fourth proportional to 7,574.73, 10,447.20 and 4,923 is: 6,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.73 : 10,447.20 = 4,923 : x
  2. Step 2: Convert to fraction form
    7,574.73/10,447.20 = 4,923/x
  3. Step 3: Cross multiply
    7,574.73x = 10,447.20 × 4,923
  4. Step 4: Simplify right side
    7,574.73x = 51,431,565.60
  5. Step 5: Solve for x
    x = 51,431,565.60/7,574.73
  6. Step 6: Final answer
    x = 6,789.89

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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.