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Finding the Fourth Proportional to 5,808.20, 8,713.20 and 2,109.74

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Solution

The fourth proportional to 5,808.20, 8,713.20 and 2,109.74 is: 3,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.20 : 8,713.20 = 2,109.74 : x
  2. Step 2: Convert to fraction form
    5,808.20/8,713.20 = 2,109.74/x
  3. Step 3: Cross multiply
    5,808.20x = 8,713.20 × 2,109.74
  4. Step 4: Simplify right side
    5,808.20x = 18,382,543.00
  5. Step 5: Solve for x
    x = 18,382,543.00/5,808.20
  6. Step 6: Final answer
    x = 3,164.93

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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.