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Finding the Fourth Proportional to 16,590, 22,894.20 and 9,138

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Solution

The fourth proportional to 16,590, 22,894.20 and 9,138 is: 12,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590 : 22,894.20 = 9,138 : x
  2. Step 2: Convert to fraction form
    16,590/22,894.20 = 9,138/x
  3. Step 3: Cross multiply
    16,590x = 22,894.20 × 9,138
  4. Step 4: Simplify right side
    16,590x = 209,207,199.60
  5. Step 5: Solve for x
    x = 209,207,199.60/16,590
  6. Step 6: Final answer
    x = 12,610.44

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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.