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Finding the Fourth Proportional to 15,199.31, 20,977.49 and 8,911.69

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Solution

The fourth proportional to 15,199.31, 20,977.49 and 8,911.69 is: 12,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.31 : 20,977.49 = 8,911.69 : x
  2. Step 2: Convert to fraction form
    15,199.31/20,977.49 = 8,911.69/x
  3. Step 3: Cross multiply
    15,199.31x = 20,977.49 × 8,911.69
  4. Step 4: Simplify right side
    15,199.31x = 186,944,857.69
  5. Step 5: Solve for x
    x = 186,944,857.69/15,199.31
  6. Step 6: Final answer
    x = 12,299.56

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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.