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Finding the Fourth Proportional to 17,186.66, 25,778.70 and 5,340.10

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Solution

The fourth proportional to 17,186.66, 25,778.70 and 5,340.10 is: 8,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.66 : 25,778.70 = 5,340.10 : x
  2. Step 2: Convert to fraction form
    17,186.66/25,778.70 = 5,340.10/x
  3. Step 3: Cross multiply
    17,186.66x = 25,778.70 × 5,340.10
  4. Step 4: Simplify right side
    17,186.66x = 137,660,835.87
  5. Step 5: Solve for x
    x = 137,660,835.87/17,186.66
  6. Step 6: Final answer
    x = 8,009.75

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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.