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Finding the Fourth Proportional to 13,412.68, 18,509.22 and 7,444

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Solution

The fourth proportional to 13,412.68, 18,509.22 and 7,444 is: 10,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.68 : 18,509.22 = 7,444 : x
  2. Step 2: Convert to fraction form
    13,412.68/18,509.22 = 7,444/x
  3. Step 3: Cross multiply
    13,412.68x = 18,509.22 × 7,444
  4. Step 4: Simplify right side
    13,412.68x = 137,782,633.68
  5. Step 5: Solve for x
    x = 137,782,633.68/13,412.68
  6. Step 6: Final answer
    x = 10,272.57

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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.