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Finding the Fourth Proportional to 13,671.36, 20,508.12 and 6,742.08

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Solution

The fourth proportional to 13,671.36, 20,508.12 and 6,742.08 is: 10,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.36 : 20,508.12 = 6,742.08 : x
  2. Step 2: Convert to fraction form
    13,671.36/20,508.12 = 6,742.08/x
  3. Step 3: Cross multiply
    13,671.36x = 20,508.12 × 6,742.08
  4. Step 4: Simplify right side
    13,671.36x = 138,267,385.69
  5. Step 5: Solve for x
    x = 138,267,385.69/13,671.36
  6. Step 6: Final answer
    x = 10,113.65

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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.