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Finding the Fourth Proportional to 13,405.68, 18,500.67 and 7,741.47

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Solution

The fourth proportional to 13,405.68, 18,500.67 and 7,741.47 is: 10,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.68 : 18,500.67 = 7,741.47 : x
  2. Step 2: Convert to fraction form
    13,405.68/18,500.67 = 7,741.47/x
  3. Step 3: Cross multiply
    13,405.68x = 18,500.67 × 7,741.47
  4. Step 4: Simplify right side
    13,405.68x = 143,222,381.78
  5. Step 5: Solve for x
    x = 143,222,381.78/13,405.68
  6. Step 6: Final answer
    x = 10,683.71

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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.