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Finding the Fourth Proportional to 13,578.49, 18,739.11 and 7,609.87

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Solution

The fourth proportional to 13,578.49, 18,739.11 and 7,609.87 is: 10,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.49 : 18,739.11 = 7,609.87 : x
  2. Step 2: Convert to fraction form
    13,578.49/18,739.11 = 7,609.87/x
  3. Step 3: Cross multiply
    13,578.49x = 18,739.11 × 7,609.87
  4. Step 4: Simplify right side
    13,578.49x = 142,602,191.02
  5. Step 5: Solve for x
    x = 142,602,191.02/13,578.49
  6. Step 6: Final answer
    x = 10,502.07

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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.