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Finding the Fourth Proportional to 21,824.50, 30,117.82 and 11,888.50

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Solution

The fourth proportional to 21,824.50, 30,117.82 and 11,888.50 is: 16,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.50 : 30,117.82 = 11,888.50 : x
  2. Step 2: Convert to fraction form
    21,824.50/30,117.82 = 11,888.50/x
  3. Step 3: Cross multiply
    21,824.50x = 30,117.82 × 11,888.50
  4. Step 4: Simplify right side
    21,824.50x = 358,055,703.07
  5. Step 5: Solve for x
    x = 358,055,703.07/21,824.50
  6. Step 6: Final answer
    x = 16,406.14

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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.