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Finding the Fourth Proportional to 7,642.89, 11,441.25 and 5,973.48

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Solution

The fourth proportional to 7,642.89, 11,441.25 and 5,973.48 is: 8,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.89 : 11,441.25 = 5,973.48 : x
  2. Step 2: Convert to fraction form
    7,642.89/11,441.25 = 5,973.48/x
  3. Step 3: Cross multiply
    7,642.89x = 11,441.25 × 5,973.48
  4. Step 4: Simplify right side
    7,642.89x = 68,344,078.05
  5. Step 5: Solve for x
    x = 68,344,078.05/7,642.89
  6. Step 6: Final answer
    x = 8,942.18

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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.