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Finding the Fourth Proportional to 21,744, 30,006.72 and 11,808

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Solution

The fourth proportional to 21,744, 30,006.72 and 11,808 is: 16,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744 : 30,006.72 = 11,808 : x
  2. Step 2: Convert to fraction form
    21,744/30,006.72 = 11,808/x
  3. Step 3: Cross multiply
    21,744x = 30,006.72 × 11,808
  4. Step 4: Simplify right side
    21,744x = 354,319,349.76
  5. Step 5: Solve for x
    x = 354,319,349.76/21,744
  6. Step 6: Final answer
    x = 16,295.04

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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.