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Finding the Fourth Proportional to 13,563.71, 18,717 and 7,595.90

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Solution

The fourth proportional to 13,563.71, 18,717 and 7,595.90 is: 10,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.71 : 18,717 = 7,595.90 : x
  2. Step 2: Convert to fraction form
    13,563.71/18,717 = 7,595.90/x
  3. Step 3: Cross multiply
    13,563.71x = 18,717 × 7,595.90
  4. Step 4: Simplify right side
    13,563.71x = 142,172,460.30
  5. Step 5: Solve for x
    x = 142,172,460.30/13,563.71
  6. Step 6: Final answer
    x = 10,481.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.