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Finding the Fourth Proportional to 16,894.56, 23,305.14 and 9,820.20

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Solution

The fourth proportional to 16,894.56, 23,305.14 and 9,820.20 is: 13,546.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.56 : 23,305.14 = 9,820.20 : x
  2. Step 2: Convert to fraction form
    16,894.56/23,305.14 = 9,820.20/x
  3. Step 3: Cross multiply
    16,894.56x = 23,305.14 × 9,820.20
  4. Step 4: Simplify right side
    16,894.56x = 228,861,135.83
  5. Step 5: Solve for x
    x = 228,861,135.83/16,894.56
  6. Step 6: Final answer
    x = 13,546.44

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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.