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Finding the Fourth Proportional to 7,938.16, 11,908.16 and 2,391.84

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Solution

The fourth proportional to 7,938.16, 11,908.16 and 2,391.84 is: 3,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.16 : 11,908.16 = 2,391.84 : x
  2. Step 2: Convert to fraction form
    7,938.16/11,908.16 = 2,391.84/x
  3. Step 3: Cross multiply
    7,938.16x = 11,908.16 × 2,391.84
  4. Step 4: Simplify right side
    7,938.16x = 28,482,413.41
  5. Step 5: Solve for x
    x = 28,482,413.41/7,938.16
  6. Step 6: Final answer
    x = 3,588.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.