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Finding the Fourth Proportional to 16,767, 23,138.46 and 9,315

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Solution

The fourth proportional to 16,767, 23,138.46 and 9,315 is: 12,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 23,138.46 = 9,315 : x
  2. Step 2: Convert to fraction form
    16,767/23,138.46 = 9,315/x
  3. Step 3: Cross multiply
    16,767x = 23,138.46 × 9,315
  4. Step 4: Simplify right side
    16,767x = 215,534,754.90
  5. Step 5: Solve for x
    x = 215,534,754.90/16,767
  6. Step 6: Final answer
    x = 12,854.70

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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.