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Finding the Fourth Proportional to 10,729.80, 14,806.38 and 7,192.44

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Solution

The fourth proportional to 10,729.80, 14,806.38 and 7,192.44 is: 9,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.80 : 14,806.38 = 7,192.44 : x
  2. Step 2: Convert to fraction form
    10,729.80/14,806.38 = 7,192.44/x
  3. Step 3: Cross multiply
    10,729.80x = 14,806.38 × 7,192.44
  4. Step 4: Simplify right side
    10,729.80x = 106,493,999.77
  5. Step 5: Solve for x
    x = 106,493,999.77/10,729.80
  6. Step 6: Final answer
    x = 9,925.07

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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.