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Finding the Fourth Proportional to 7,156, 10,733.52 and 1,961.92

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Solution

The fourth proportional to 7,156, 10,733.52 and 1,961.92 is: 2,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156 : 10,733.52 = 1,961.92 : x
  2. Step 2: Convert to fraction form
    7,156/10,733.52 = 1,961.92/x
  3. Step 3: Cross multiply
    7,156x = 10,733.52 × 1,961.92
  4. Step 4: Simplify right side
    7,156x = 21,058,307.56
  5. Step 5: Solve for x
    x = 21,058,307.56/7,156
  6. Step 6: Final answer
    x = 2,942.75

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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.