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Finding the Fourth Proportional to 21,218.68, 31,828.56 and 7,367.68

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Solution

The fourth proportional to 21,218.68, 31,828.56 and 7,367.68 is: 11,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.68 : 31,828.56 = 7,367.68 : x
  2. Step 2: Convert to fraction form
    21,218.68/31,828.56 = 7,367.68/x
  3. Step 3: Cross multiply
    21,218.68x = 31,828.56 × 7,367.68
  4. Step 4: Simplify right side
    21,218.68x = 234,502,644.94
  5. Step 5: Solve for x
    x = 234,502,644.94/21,218.68
  6. Step 6: Final answer
    x = 11,051.71

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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.