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Finding the Fourth Proportional to 11,298.68, 16,934.12 and 8,189.34

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Solution

The fourth proportional to 11,298.68, 16,934.12 and 8,189.34 is: 12,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.68 : 16,934.12 = 8,189.34 : x
  2. Step 2: Convert to fraction form
    11,298.68/16,934.12 = 8,189.34/x
  3. Step 3: Cross multiply
    11,298.68x = 16,934.12 × 8,189.34
  4. Step 4: Simplify right side
    11,298.68x = 138,679,266.28
  5. Step 5: Solve for x
    x = 138,679,266.28/11,298.68
  6. Step 6: Final answer
    x = 12,273.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.