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Finding the Fourth Proportional to 7,178.15, 9,904.78 and 4,033.73

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Solution

The fourth proportional to 7,178.15, 9,904.78 and 4,033.73 is: 5,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.15 : 9,904.78 = 4,033.73 : x
  2. Step 2: Convert to fraction form
    7,178.15/9,904.78 = 4,033.73/x
  3. Step 3: Cross multiply
    7,178.15x = 9,904.78 × 4,033.73
  4. Step 4: Simplify right side
    7,178.15x = 39,953,238.03
  5. Step 5: Solve for x
    x = 39,953,238.03/7,178.15
  6. Step 6: Final answer
    x = 5,565.95

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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.