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Finding the Fourth Proportional to 16,478.13, 22,739.89 and 8,924.55

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Solution

The fourth proportional to 16,478.13, 22,739.89 and 8,924.55 is: 12,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.13 : 22,739.89 = 8,924.55 : x
  2. Step 2: Convert to fraction form
    16,478.13/22,739.89 = 8,924.55/x
  3. Step 3: Cross multiply
    16,478.13x = 22,739.89 × 8,924.55
  4. Step 4: Simplify right side
    16,478.13x = 202,943,262.99
  5. Step 5: Solve for x
    x = 202,943,262.99/16,478.13
  6. Step 6: Final answer
    x = 12,315.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.