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Finding the Fourth Proportional to 13,305.31, 18,362.99 and 7,641.83

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Solution

The fourth proportional to 13,305.31, 18,362.99 and 7,641.83 is: 10,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.31 : 18,362.99 = 7,641.83 : x
  2. Step 2: Convert to fraction form
    13,305.31/18,362.99 = 7,641.83/x
  3. Step 3: Cross multiply
    13,305.31x = 18,362.99 × 7,641.83
  4. Step 4: Simplify right side
    13,305.31x = 140,326,717.85
  5. Step 5: Solve for x
    x = 140,326,717.85/13,305.31
  6. Step 6: Final answer
    x = 10,546.67

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1.5x scale

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.