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Finding the Fourth Proportional to 8,743.56, 13,098 and 4,129.80

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Solution

The fourth proportional to 8,743.56, 13,098 and 4,129.80 is: 6,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.56 : 13,098 = 4,129.80 : x
  2. Step 2: Convert to fraction form
    8,743.56/13,098 = 4,129.80/x
  3. Step 3: Cross multiply
    8,743.56x = 13,098 × 4,129.80
  4. Step 4: Simplify right side
    8,743.56x = 54,092,120.40
  5. Step 5: Solve for x
    x = 54,092,120.40/8,743.56
  6. Step 6: Final answer
    x = 6,186.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.