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Finding the Fourth Proportional to 7,956.92, 11,916.88 and 6,972.76

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Solution

The fourth proportional to 7,956.92, 11,916.88 and 6,972.76 is: 10,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,956.92 : 11,916.88 = 6,972.76 : x
  2. Step 2: Convert to fraction form
    7,956.92/11,916.88 = 6,972.76/x
  3. Step 3: Cross multiply
    7,956.92x = 11,916.88 × 6,972.76
  4. Step 4: Simplify right side
    7,956.92x = 83,093,544.19
  5. Step 5: Solve for x
    x = 83,093,544.19/7,956.92
  6. Step 6: Final answer
    x = 10,442.93

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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.