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Finding the Fourth Proportional to 7,156.17, 10,734.17 and 1,962

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Solution

The fourth proportional to 7,156.17, 10,734.17 and 1,962 is: 2,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.17 : 10,734.17 = 1,962 : x
  2. Step 2: Convert to fraction form
    7,156.17/10,734.17 = 1,962/x
  3. Step 3: Cross multiply
    7,156.17x = 10,734.17 × 1,962
  4. Step 4: Simplify right side
    7,156.17x = 21,060,431.73
  5. Step 5: Solve for x
    x = 21,060,431.73/7,156.17
  6. Step 6: Final answer
    x = 2,942.98

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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.