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Finding the Fourth Proportional to 9,186.68, 13,782.17 and 2,612.92

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Solution

The fourth proportional to 9,186.68, 13,782.17 and 2,612.92 is: 3,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.68 : 13,782.17 = 2,612.92 : x
  2. Step 2: Convert to fraction form
    9,186.68/13,782.17 = 2,612.92/x
  3. Step 3: Cross multiply
    9,186.68x = 13,782.17 × 2,612.92
  4. Step 4: Simplify right side
    9,186.68x = 36,011,679.71
  5. Step 5: Solve for x
    x = 36,011,679.71/9,186.68
  6. Step 6: Final answer
    x = 3,919.99

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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.