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Finding the Fourth Proportional to 13,165.34, 19,748.61 and 7,317.54

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Solution

The fourth proportional to 13,165.34, 19,748.61 and 7,317.54 is: 10,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.34 : 19,748.61 = 7,317.54 : x
  2. Step 2: Convert to fraction form
    13,165.34/19,748.61 = 7,317.54/x
  3. Step 3: Cross multiply
    13,165.34x = 19,748.61 × 7,317.54
  4. Step 4: Simplify right side
    13,165.34x = 144,511,243.62
  5. Step 5: Solve for x
    x = 144,511,243.62/13,165.34
  6. Step 6: Final answer
    x = 10,976.65

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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.