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Finding the Fourth Proportional to 21,888, 32,832 and 8,746.24

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Solution

The fourth proportional to 21,888, 32,832 and 8,746.24 is: 13,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888 : 32,832 = 8,746.24 : x
  2. Step 2: Convert to fraction form
    21,888/32,832 = 8,746.24/x
  3. Step 3: Cross multiply
    21,888x = 32,832 × 8,746.24
  4. Step 4: Simplify right side
    21,888x = 287,156,551.68
  5. Step 5: Solve for x
    x = 287,156,551.68/21,888
  6. Step 6: Final answer
    x = 13,119.36

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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.