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Finding the Fourth Proportional to 16,800.72, 23,185.08 and 9,728.88

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Solution

The fourth proportional to 16,800.72, 23,185.08 and 9,728.88 is: 13,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.72 : 23,185.08 = 9,728.88 : x
  2. Step 2: Convert to fraction form
    16,800.72/23,185.08 = 9,728.88/x
  3. Step 3: Cross multiply
    16,800.72x = 23,185.08 × 9,728.88
  4. Step 4: Simplify right side
    16,800.72x = 225,564,861.11
  5. Step 5: Solve for x
    x = 225,564,861.11/16,800.72
  6. Step 6: Final answer
    x = 13,425.90

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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.