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Finding the Fourth Proportional to 21,264.74, 31,876.29 and 7,927.97

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Solution

The fourth proportional to 21,264.74, 31,876.29 and 7,927.97 is: 11,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.74 : 31,876.29 = 7,927.97 : x
  2. Step 2: Convert to fraction form
    21,264.74/31,876.29 = 7,927.97/x
  3. Step 3: Cross multiply
    21,264.74x = 31,876.29 × 7,927.97
  4. Step 4: Simplify right side
    21,264.74x = 252,714,270.83
  5. Step 5: Solve for x
    x = 252,714,270.83/21,264.74
  6. Step 6: Final answer
    x = 11,884.19

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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.