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Finding the Fourth Proportional to 10,120.67, 13,965.79 and 5,644.67

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Solution

The fourth proportional to 10,120.67, 13,965.79 and 5,644.67 is: 7,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.67 : 13,965.79 = 5,644.67 : x
  2. Step 2: Convert to fraction form
    10,120.67/13,965.79 = 5,644.67/x
  3. Step 3: Cross multiply
    10,120.67x = 13,965.79 × 5,644.67
  4. Step 4: Simplify right side
    10,120.67x = 78,832,247.62
  5. Step 5: Solve for x
    x = 78,832,247.62/10,120.67
  6. Step 6: Final answer
    x = 7,789.24

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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.