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Finding the Fourth Proportional to 7,787.07, 10,691.88 and 7,584.12

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Solution

The fourth proportional to 7,787.07, 10,691.88 and 7,584.12 is: 10,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.07 : 10,691.88 = 7,584.12 : x
  2. Step 2: Convert to fraction form
    7,787.07/10,691.88 = 7,584.12/x
  3. Step 3: Cross multiply
    7,787.07x = 10,691.88 × 7,584.12
  4. Step 4: Simplify right side
    7,787.07x = 81,088,500.95
  5. Step 5: Solve for x
    x = 81,088,500.95/7,787.07
  6. Step 6: Final answer
    x = 10,413.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.