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Finding the Fourth Proportional to 6,921.94, 9,552.79 and 3,938.74

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Solution

The fourth proportional to 6,921.94, 9,552.79 and 3,938.74 is: 5,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.94 : 9,552.79 = 3,938.74 : x
  2. Step 2: Convert to fraction form
    6,921.94/9,552.79 = 3,938.74/x
  3. Step 3: Cross multiply
    6,921.94x = 9,552.79 × 3,938.74
  4. Step 4: Simplify right side
    6,921.94x = 37,625,888.63
  5. Step 5: Solve for x
    x = 37,625,888.63/6,921.94
  6. Step 6: Final answer
    x = 5,435.74

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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.