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Finding the Fourth Proportional to 21,578.48, 32,367.72 and 12,338

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Solution

The fourth proportional to 21,578.48, 32,367.72 and 12,338 is: 18,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.48 : 32,367.72 = 12,338 : x
  2. Step 2: Convert to fraction form
    21,578.48/32,367.72 = 12,338/x
  3. Step 3: Cross multiply
    21,578.48x = 32,367.72 × 12,338
  4. Step 4: Simplify right side
    21,578.48x = 399,352,929.36
  5. Step 5: Solve for x
    x = 399,352,929.36/21,578.48
  6. Step 6: Final answer
    x = 18,507

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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.