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Finding the Fourth Proportional to 13,648.50, 18,834.47 and 7,679.81

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Solution

The fourth proportional to 13,648.50, 18,834.47 and 7,679.81 is: 10,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.50 : 18,834.47 = 7,679.81 : x
  2. Step 2: Convert to fraction form
    13,648.50/18,834.47 = 7,679.81/x
  3. Step 3: Cross multiply
    13,648.50x = 18,834.47 × 7,679.81
  4. Step 4: Simplify right side
    13,648.50x = 144,645,231.74
  5. Step 5: Solve for x
    x = 144,645,231.74/13,648.50
  6. Step 6: Final answer
    x = 10,597.88

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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.