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Finding the Fourth Proportional to 16,494, 22,762.80 and 9,042

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Solution

The fourth proportional to 16,494, 22,762.80 and 9,042 is: 12,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 22,762.80 = 9,042 : x
  2. Step 2: Convert to fraction form
    16,494/22,762.80 = 9,042/x
  3. Step 3: Cross multiply
    16,494x = 22,762.80 × 9,042
  4. Step 4: Simplify right side
    16,494x = 205,821,237.60
  5. Step 5: Solve for x
    x = 205,821,237.60/16,494
  6. Step 6: Final answer
    x = 12,478.55

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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.