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Finding the Fourth Proportional to 16,895, 23,315.10 and 9,443

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Solution

The fourth proportional to 16,895, 23,315.10 and 9,443 is: 13,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,895 : 23,315.10 = 9,443 : x
  2. Step 2: Convert to fraction form
    16,895/23,315.10 = 9,443/x
  3. Step 3: Cross multiply
    16,895x = 23,315.10 × 9,443
  4. Step 4: Simplify right side
    16,895x = 220,164,489.30
  5. Step 5: Solve for x
    x = 220,164,489.30/16,895
  6. Step 6: Final answer
    x = 13,031.34

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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.