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Finding the Fourth Proportional to 15,206.30, 20,983.49 and 8,491.53

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Solution

The fourth proportional to 15,206.30, 20,983.49 and 8,491.53 is: 11,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.30 : 20,983.49 = 8,491.53 : x
  2. Step 2: Convert to fraction form
    15,206.30/20,983.49 = 8,491.53/x
  3. Step 3: Cross multiply
    15,206.30x = 20,983.49 × 8,491.53
  4. Step 4: Simplify right side
    15,206.30x = 178,181,892.38
  5. Step 5: Solve for x
    x = 178,181,892.38/15,206.30
  6. Step 6: Final answer
    x = 11,717.63

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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.