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Finding the Fourth Proportional to 23,760, 32,788.80 and 13,824

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Solution

The fourth proportional to 23,760, 32,788.80 and 13,824 is: 19,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760 : 32,788.80 = 13,824 : x
  2. Step 2: Convert to fraction form
    23,760/32,788.80 = 13,824/x
  3. Step 3: Cross multiply
    23,760x = 32,788.80 × 13,824
  4. Step 4: Simplify right side
    23,760x = 453,272,371.20
  5. Step 5: Solve for x
    x = 453,272,371.20/23,760
  6. Step 6: Final answer
    x = 19,077.12

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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.