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Finding the Fourth Proportional to 6,405.75, 8,847.23 and 4,306.23

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Solution

The fourth proportional to 6,405.75, 8,847.23 and 4,306.23 is: 5,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.75 : 8,847.23 = 4,306.23 : x
  2. Step 2: Convert to fraction form
    6,405.75/8,847.23 = 4,306.23/x
  3. Step 3: Cross multiply
    6,405.75x = 8,847.23 × 4,306.23
  4. Step 4: Simplify right side
    6,405.75x = 38,098,207.24
  5. Step 5: Solve for x
    x = 38,098,207.24/6,405.75
  6. Step 6: Final answer
    x = 5,947.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.