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Finding the Fourth Proportional to 13,898.82, 20,842.70 and 8,059.53

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Solution

The fourth proportional to 13,898.82, 20,842.70 and 8,059.53 is: 12,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.82 : 20,842.70 = 8,059.53 : x
  2. Step 2: Convert to fraction form
    13,898.82/20,842.70 = 8,059.53/x
  3. Step 3: Cross multiply
    13,898.82x = 20,842.70 × 8,059.53
  4. Step 4: Simplify right side
    13,898.82x = 167,982,325.63
  5. Step 5: Solve for x
    x = 167,982,325.63/13,898.82
  6. Step 6: Final answer
    x = 12,086.09

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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.