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Finding the Fourth Proportional to 15,359.22, 21,198.77 and 9,974.14

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Solution

The fourth proportional to 15,359.22, 21,198.77 and 9,974.14 is: 13,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,359.22 : 21,198.77 = 9,974.14 : x
  2. Step 2: Convert to fraction form
    15,359.22/21,198.77 = 9,974.14/x
  3. Step 3: Cross multiply
    15,359.22x = 21,198.77 × 9,974.14
  4. Step 4: Simplify right side
    15,359.22x = 211,439,499.81
  5. Step 5: Solve for x
    x = 211,439,499.81/15,359.22
  6. Step 6: Final answer
    x = 13,766.29

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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.