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Finding the Fourth Proportional to 21,927.51, 32,876.81 and 7,880.49

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Solution

The fourth proportional to 21,927.51, 32,876.81 and 7,880.49 is: 11,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.51 : 32,876.81 = 7,880.49 : x
  2. Step 2: Convert to fraction form
    21,927.51/32,876.81 = 7,880.49/x
  3. Step 3: Cross multiply
    21,927.51x = 32,876.81 × 7,880.49
  4. Step 4: Simplify right side
    21,927.51x = 259,085,333.03
  5. Step 5: Solve for x
    x = 259,085,333.03/21,927.51
  6. Step 6: Final answer
    x = 11,815.54

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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.