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Finding the Fourth Proportional to 7,092.24, 9,787.20 and 3,905

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Solution

The fourth proportional to 7,092.24, 9,787.20 and 3,905 is: 5,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.24 : 9,787.20 = 3,905 : x
  2. Step 2: Convert to fraction form
    7,092.24/9,787.20 = 3,905/x
  3. Step 3: Cross multiply
    7,092.24x = 9,787.20 × 3,905
  4. Step 4: Simplify right side
    7,092.24x = 38,219,016
  5. Step 5: Solve for x
    x = 38,219,016/7,092.24
  6. Step 6: Final answer
    x = 5,388.85

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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.