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Finding the Fourth Proportional to 13,498.56, 20,238.12 and 8,293.68

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Solution

The fourth proportional to 13,498.56, 20,238.12 and 8,293.68 is: 12,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.56 : 20,238.12 = 8,293.68 : x
  2. Step 2: Convert to fraction form
    13,498.56/20,238.12 = 8,293.68/x
  3. Step 3: Cross multiply
    13,498.56x = 20,238.12 × 8,293.68
  4. Step 4: Simplify right side
    13,498.56x = 167,848,491.08
  5. Step 5: Solve for x
    x = 167,848,491.08/13,498.56
  6. Step 6: Final answer
    x = 12,434.55

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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.