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Finding the Fourth Proportional to 13,671, 20,511.36 and 6,750.36

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Solution

The fourth proportional to 13,671, 20,511.36 and 6,750.36 is: 10,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671 : 20,511.36 = 6,750.36 : x
  2. Step 2: Convert to fraction form
    13,671/20,511.36 = 6,750.36/x
  3. Step 3: Cross multiply
    13,671x = 20,511.36 × 6,750.36
  4. Step 4: Simplify right side
    13,671x = 138,459,064.09
  5. Step 5: Solve for x
    x = 138,459,064.09/13,671
  6. Step 6: Final answer
    x = 10,127.94

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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.