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Finding the Fourth Proportional to 21,928.26, 32,877.93 and 7,881.24

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Solution

The fourth proportional to 21,928.26, 32,877.93 and 7,881.24 is: 11,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.26 : 32,877.93 = 7,881.24 : x
  2. Step 2: Convert to fraction form
    21,928.26/32,877.93 = 7,881.24/x
  3. Step 3: Cross multiply
    21,928.26x = 32,877.93 × 7,881.24
  4. Step 4: Simplify right side
    21,928.26x = 259,118,857.03
  5. Step 5: Solve for x
    x = 259,118,857.03/21,928.26
  6. Step 6: Final answer
    x = 11,816.66

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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.