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Finding the Fourth Proportional to 21,956.52, 32,930.40 and 7,916.16

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Solution

The fourth proportional to 21,956.52, 32,930.40 and 7,916.16 is: 11,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.52 : 32,930.40 = 7,916.16 : x
  2. Step 2: Convert to fraction form
    21,956.52/32,930.40 = 7,916.16/x
  3. Step 3: Cross multiply
    21,956.52x = 32,930.40 × 7,916.16
  4. Step 4: Simplify right side
    21,956.52x = 260,682,315.26
  5. Step 5: Solve for x
    x = 260,682,315.26/21,956.52
  6. Step 6: Final answer
    x = 11,872.66

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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.