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Finding the Fourth Proportional to 16,316.40, 22,517.76 and 9,242.88

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Solution

The fourth proportional to 16,316.40, 22,517.76 and 9,242.88 is: 12,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.40 : 22,517.76 = 9,242.88 : x
  2. Step 2: Convert to fraction form
    16,316.40/22,517.76 = 9,242.88/x
  3. Step 3: Cross multiply
    16,316.40x = 22,517.76 × 9,242.88
  4. Step 4: Simplify right side
    16,316.40x = 208,128,953.55
  5. Step 5: Solve for x
    x = 208,128,953.55/16,316.40
  6. Step 6: Final answer
    x = 12,755.81

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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.