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Finding the Fourth Proportional to 16,894, 23,313.72 and 9,442

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Solution

The fourth proportional to 16,894, 23,313.72 and 9,442 is: 13,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894 : 23,313.72 = 9,442 : x
  2. Step 2: Convert to fraction form
    16,894/23,313.72 = 9,442/x
  3. Step 3: Cross multiply
    16,894x = 23,313.72 × 9,442
  4. Step 4: Simplify right side
    16,894x = 220,128,144.24
  5. Step 5: Solve for x
    x = 220,128,144.24/16,894
  6. Step 6: Final answer
    x = 13,029.96

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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.