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Finding the Fourth Proportional to 9,134.10, 13,686.30 and 8,259.30

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Solution

The fourth proportional to 9,134.10, 13,686.30 and 8,259.30 is: 12,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.10 : 13,686.30 = 8,259.30 : x
  2. Step 2: Convert to fraction form
    9,134.10/13,686.30 = 8,259.30/x
  3. Step 3: Cross multiply
    9,134.10x = 13,686.30 × 8,259.30
  4. Step 4: Simplify right side
    9,134.10x = 113,039,257.59
  5. Step 5: Solve for x
    x = 113,039,257.59/9,134.10
  6. Step 6: Final answer
    x = 12,375.52

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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.