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Finding the Fourth Proportional to 13,864.65, 20,805.20 and 5,105.71

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Solution

The fourth proportional to 13,864.65, 20,805.20 and 5,105.71 is: 7,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.65 : 20,805.20 = 5,105.71 : x
  2. Step 2: Convert to fraction form
    13,864.65/20,805.20 = 5,105.71/x
  3. Step 3: Cross multiply
    13,864.65x = 20,805.20 × 5,105.71
  4. Step 4: Simplify right side
    13,864.65x = 106,225,317.69
  5. Step 5: Solve for x
    x = 106,225,317.69/13,864.65
  6. Step 6: Final answer
    x = 7,661.59

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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.