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Finding the Fourth Proportional to 7,761.38, 10,721.59 and 6,921.81

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Solution

The fourth proportional to 7,761.38, 10,721.59 and 6,921.81 is: 9,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.38 : 10,721.59 = 6,921.81 : x
  2. Step 2: Convert to fraction form
    7,761.38/10,721.59 = 6,921.81/x
  3. Step 3: Cross multiply
    7,761.38x = 10,721.59 × 6,921.81
  4. Step 4: Simplify right side
    7,761.38x = 74,212,791.57
  5. Step 5: Solve for x
    x = 74,212,791.57/7,761.38
  6. Step 6: Final answer
    x = 9,561.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.