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Finding the Fourth Proportional to 16,974.24, 23,423.82 and 9,420.90

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Solution

The fourth proportional to 16,974.24, 23,423.82 and 9,420.90 is: 13,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.24 : 23,423.82 = 9,420.90 : x
  2. Step 2: Convert to fraction form
    16,974.24/23,423.82 = 9,420.90/x
  3. Step 3: Cross multiply
    16,974.24x = 23,423.82 × 9,420.90
  4. Step 4: Simplify right side
    16,974.24x = 220,673,465.84
  5. Step 5: Solve for x
    x = 220,673,465.84/16,974.24
  6. Step 6: Final answer
    x = 13,000.49

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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.