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Finding the Fourth Proportional to 16,400.86, 22,630.92 and 9,325.92

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Solution

The fourth proportional to 16,400.86, 22,630.92 and 9,325.92 is: 12,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.86 : 22,630.92 = 9,325.92 : x
  2. Step 2: Convert to fraction form
    16,400.86/22,630.92 = 9,325.92/x
  3. Step 3: Cross multiply
    16,400.86x = 22,630.92 × 9,325.92
  4. Step 4: Simplify right side
    16,400.86x = 211,054,149.45
  5. Step 5: Solve for x
    x = 211,054,149.45/16,400.86
  6. Step 6: Final answer
    x = 12,868.48

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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.