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Finding the Fourth Proportional to 16,806.78, 23,192.10 and 9,731.88

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Solution

The fourth proportional to 16,806.78, 23,192.10 and 9,731.88 is: 13,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.78 : 23,192.10 = 9,731.88 : x
  2. Step 2: Convert to fraction form
    16,806.78/23,192.10 = 9,731.88/x
  3. Step 3: Cross multiply
    16,806.78x = 23,192.10 × 9,731.88
  4. Step 4: Simplify right side
    16,806.78x = 225,702,734.15
  5. Step 5: Solve for x
    x = 225,702,734.15/16,806.78
  6. Step 6: Final answer
    x = 13,429.27

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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.