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Finding the Fourth Proportional to 16,859, 23,265.42 and 9,407

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Solution

The fourth proportional to 16,859, 23,265.42 and 9,407 is: 12,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,859 : 23,265.42 = 9,407 : x
  2. Step 2: Convert to fraction form
    16,859/23,265.42 = 9,407/x
  3. Step 3: Cross multiply
    16,859x = 23,265.42 × 9,407
  4. Step 4: Simplify right side
    16,859x = 218,857,805.94
  5. Step 5: Solve for x
    x = 218,857,805.94/16,859
  6. Step 6: Final answer
    x = 12,981.66

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1.5x scale

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.