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Finding the Fourth Proportional to 21,816.72, 32,715.36 and 7,956

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Solution

The fourth proportional to 21,816.72, 32,715.36 and 7,956 is: 11,930.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.72 : 32,715.36 = 7,956 : x
  2. Step 2: Convert to fraction form
    21,816.72/32,715.36 = 7,956/x
  3. Step 3: Cross multiply
    21,816.72x = 32,715.36 × 7,956
  4. Step 4: Simplify right side
    21,816.72x = 260,283,404.16
  5. Step 5: Solve for x
    x = 260,283,404.16/21,816.72
  6. Step 6: Final answer
    x = 11,930.46

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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.