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Finding the Fourth Proportional to 11,172.34, 16,824.80 and 9,728.92

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Solution

The fourth proportional to 11,172.34, 16,824.80 and 9,728.92 is: 14,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.34 : 16,824.80 = 9,728.92 : x
  2. Step 2: Convert to fraction form
    11,172.34/16,824.80 = 9,728.92/x
  3. Step 3: Cross multiply
    11,172.34x = 16,824.80 × 9,728.92
  4. Step 4: Simplify right side
    11,172.34x = 163,687,133.22
  5. Step 5: Solve for x
    x = 163,687,133.22/11,172.34
  6. Step 6: Final answer
    x = 14,651.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.