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Finding the Fourth Proportional to 12,558.96, 17,331.91 and 7,524

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Solution

The fourth proportional to 12,558.96, 17,331.91 and 7,524 is: 10,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,558.96 : 17,331.91 = 7,524 : x
  2. Step 2: Convert to fraction form
    12,558.96/17,331.91 = 7,524/x
  3. Step 3: Cross multiply
    12,558.96x = 17,331.91 × 7,524
  4. Step 4: Simplify right side
    12,558.96x = 130,405,272.03
  5. Step 5: Solve for x
    x = 130,405,272.03/12,558.96
  6. Step 6: Final answer
    x = 10,383.45

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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.