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Finding the Fourth Proportional to 21,824, 30,117.12 and 11,888

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Solution

The fourth proportional to 21,824, 30,117.12 and 11,888 is: 16,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824 : 30,117.12 = 11,888 : x
  2. Step 2: Convert to fraction form
    21,824/30,117.12 = 11,888/x
  3. Step 3: Cross multiply
    21,824x = 30,117.12 × 11,888
  4. Step 4: Simplify right side
    21,824x = 358,032,322.56
  5. Step 5: Solve for x
    x = 358,032,322.56/21,824
  6. Step 6: Final answer
    x = 16,405.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.