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Finding the Fourth Proportional to 21,239.68, 31,866 and 10,858.72

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Solution

The fourth proportional to 21,239.68, 31,866 and 10,858.72 is: 16,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.68 : 31,866 = 10,858.72 : x
  2. Step 2: Convert to fraction form
    21,239.68/31,866 = 10,858.72/x
  3. Step 3: Cross multiply
    21,239.68x = 31,866 × 10,858.72
  4. Step 4: Simplify right side
    21,239.68x = 346,023,971.52
  5. Step 5: Solve for x
    x = 346,023,971.52/21,239.68
  6. Step 6: Final answer
    x = 16,291.39

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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.