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Finding the Fourth Proportional to 16,821, 23,214.60 and 9,369

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Solution

The fourth proportional to 16,821, 23,214.60 and 9,369 is: 12,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821 : 23,214.60 = 9,369 : x
  2. Step 2: Convert to fraction form
    16,821/23,214.60 = 9,369/x
  3. Step 3: Cross multiply
    16,821x = 23,214.60 × 9,369
  4. Step 4: Simplify right side
    16,821x = 217,497,587.40
  5. Step 5: Solve for x
    x = 217,497,587.40/16,821
  6. Step 6: Final answer
    x = 12,930.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.