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Finding the Fourth Proportional to 13,720, 18,934.41 and 7,751.52

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Solution

The fourth proportional to 13,720, 18,934.41 and 7,751.52 is: 10,697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 18,934.41 = 7,751.52 : x
  2. Step 2: Convert to fraction form
    13,720/18,934.41 = 7,751.52/x
  3. Step 3: Cross multiply
    13,720x = 18,934.41 × 7,751.52
  4. Step 4: Simplify right side
    13,720x = 146,770,457.80
  5. Step 5: Solve for x
    x = 146,770,457.80/13,720
  6. Step 6: Final answer
    x = 10,697.56

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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.