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Finding the Fourth Proportional to 16,400.65, 22,632.09 and 9,326.92

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Solution

The fourth proportional to 16,400.65, 22,632.09 and 9,326.92 is: 12,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.65 : 22,632.09 = 9,326.92 : x
  2. Step 2: Convert to fraction form
    16,400.65/22,632.09 = 9,326.92/x
  3. Step 3: Cross multiply
    16,400.65x = 22,632.09 × 9,326.92
  4. Step 4: Simplify right side
    16,400.65x = 211,087,692.86
  5. Step 5: Solve for x
    x = 211,087,692.86/16,400.65
  6. Step 6: Final answer
    x = 12,870.69

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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.