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Finding the Fourth Proportional to 16,255.42, 22,430.85 and 9,180.49

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Solution

The fourth proportional to 16,255.42, 22,430.85 and 9,180.49 is: 12,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.42 : 22,430.85 = 9,180.49 : x
  2. Step 2: Convert to fraction form
    16,255.42/22,430.85 = 9,180.49/x
  3. Step 3: Cross multiply
    16,255.42x = 22,430.85 × 9,180.49
  4. Step 4: Simplify right side
    16,255.42x = 205,926,194.12
  5. Step 5: Solve for x
    x = 205,926,194.12/16,255.42
  6. Step 6: Final answer
    x = 12,668.16

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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.