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Finding the Fourth Proportional to 7,176.96, 9,902.88 and 4,193.28

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Solution

The fourth proportional to 7,176.96, 9,902.88 and 4,193.28 is: 5,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.96 : 9,902.88 = 4,193.28 : x
  2. Step 2: Convert to fraction form
    7,176.96/9,902.88 = 4,193.28/x
  3. Step 3: Cross multiply
    7,176.96x = 9,902.88 × 4,193.28
  4. Step 4: Simplify right side
    7,176.96x = 41,525,548.65
  5. Step 5: Solve for x
    x = 41,525,548.65/7,176.96
  6. Step 6: Final answer
    x = 5,785.95

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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.