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Finding the Fourth Proportional to 21,955.26, 32,933.38 and 7,916.42

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Solution

The fourth proportional to 21,955.26, 32,933.38 and 7,916.42 is: 11,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.26 : 32,933.38 = 7,916.42 : x
  2. Step 2: Convert to fraction form
    21,955.26/32,933.38 = 7,916.42/x
  3. Step 3: Cross multiply
    21,955.26x = 32,933.38 × 7,916.42
  4. Step 4: Simplify right side
    21,955.26x = 260,714,468.10
  5. Step 5: Solve for x
    x = 260,714,468.10/21,955.26
  6. Step 6: Final answer
    x = 11,874.81

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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.