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Finding the Fourth Proportional to 7,744.82, 11,675.57 and 7,243.70

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Solution

The fourth proportional to 7,744.82, 11,675.57 and 7,243.70 is: 10,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.82 : 11,675.57 = 7,243.70 : x
  2. Step 2: Convert to fraction form
    7,744.82/11,675.57 = 7,243.70/x
  3. Step 3: Cross multiply
    7,744.82x = 11,675.57 × 7,243.70
  4. Step 4: Simplify right side
    7,744.82x = 84,574,231.81
  5. Step 5: Solve for x
    x = 84,574,231.81/7,744.82
  6. Step 6: Final answer
    x = 10,920.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.