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Finding the Fourth Proportional to 13,584, 18,739.98 and 9,608.52

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Solution

The fourth proportional to 13,584, 18,739.98 and 9,608.52 is: 13,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584 : 18,739.98 = 9,608.52 : x
  2. Step 2: Convert to fraction form
    13,584/18,739.98 = 9,608.52/x
  3. Step 3: Cross multiply
    13,584x = 18,739.98 × 9,608.52
  4. Step 4: Simplify right side
    13,584x = 180,063,472.63
  5. Step 5: Solve for x
    x = 180,063,472.63/13,584
  6. Step 6: Final answer
    x = 13,255.56

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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.