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Finding the Fourth Proportional to 13,513.12, 18,652.56 and 7,924

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Solution

The fourth proportional to 13,513.12, 18,652.56 and 7,924 is: 10,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.12 : 18,652.56 = 7,924 : x
  2. Step 2: Convert to fraction form
    13,513.12/18,652.56 = 7,924/x
  3. Step 3: Cross multiply
    13,513.12x = 18,652.56 × 7,924
  4. Step 4: Simplify right side
    13,513.12x = 147,802,885.44
  5. Step 5: Solve for x
    x = 147,802,885.44/13,513.12
  6. Step 6: Final answer
    x = 10,937.73

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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.