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Finding the Fourth Proportional to 13,342.56, 18,412.44 and 7,374

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Solution

The fourth proportional to 13,342.56, 18,412.44 and 7,374 is: 10,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.56 : 18,412.44 = 7,374 : x
  2. Step 2: Convert to fraction form
    13,342.56/18,412.44 = 7,374/x
  3. Step 3: Cross multiply
    13,342.56x = 18,412.44 × 7,374
  4. Step 4: Simplify right side
    13,342.56x = 135,773,332.56
  5. Step 5: Solve for x
    x = 135,773,332.56/13,342.56
  6. Step 6: Final answer
    x = 10,175.96

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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.