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Finding the Fourth Proportional to 23,379, 32,263.78 and 13,443

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Solution

The fourth proportional to 23,379, 32,263.78 and 13,443 is: 18,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,379 : 32,263.78 = 13,443 : x
  2. Step 2: Convert to fraction form
    23,379/32,263.78 = 13,443/x
  3. Step 3: Cross multiply
    23,379x = 32,263.78 × 13,443
  4. Step 4: Simplify right side
    23,379x = 433,721,994.54
  5. Step 5: Solve for x
    x = 433,721,994.54/23,379
  6. Step 6: Final answer
    x = 18,551.78

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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.