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Finding the Fourth Proportional to 7,872.67, 11,783.49 and 5,792.23

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Solution

The fourth proportional to 7,872.67, 11,783.49 and 5,792.23 is: 8,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.67 : 11,783.49 = 5,792.23 : x
  2. Step 2: Convert to fraction form
    7,872.67/11,783.49 = 5,792.23/x
  3. Step 3: Cross multiply
    7,872.67x = 11,783.49 × 5,792.23
  4. Step 4: Simplify right side
    7,872.67x = 68,252,684.28
  5. Step 5: Solve for x
    x = 68,252,684.28/7,872.67
  6. Step 6: Final answer
    x = 8,669.57

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1.5x scale

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.