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Finding the Fourth Proportional to 13,917.17, 20,871.12 and 6,417.66

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Solution

The fourth proportional to 13,917.17, 20,871.12 and 6,417.66 is: 9,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.17 : 20,871.12 = 6,417.66 : x
  2. Step 2: Convert to fraction form
    13,917.17/20,871.12 = 6,417.66/x
  3. Step 3: Cross multiply
    13,917.17x = 20,871.12 × 6,417.66
  4. Step 4: Simplify right side
    13,917.17x = 133,943,804.16
  5. Step 5: Solve for x
    x = 133,943,804.16/13,917.17
  6. Step 6: Final answer
    x = 9,624.36

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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.