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Finding the Fourth Proportional to 16,078.91, 22,188.65 and 9,005.59

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Solution

The fourth proportional to 16,078.91, 22,188.65 and 9,005.59 is: 12,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.91 : 22,188.65 = 9,005.59 : x
  2. Step 2: Convert to fraction form
    16,078.91/22,188.65 = 9,005.59/x
  3. Step 3: Cross multiply
    16,078.91x = 22,188.65 × 9,005.59
  4. Step 4: Simplify right side
    16,078.91x = 199,821,851.60
  5. Step 5: Solve for x
    x = 199,821,851.60/16,078.91
  6. Step 6: Final answer
    x = 12,427.57

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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.