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Finding the Fourth Proportional to 6,309.30, 8,706.65 and 3,952.74

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Solution

The fourth proportional to 6,309.30, 8,706.65 and 3,952.74 is: 5,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.30 : 8,706.65 = 3,952.74 : x
  2. Step 2: Convert to fraction form
    6,309.30/8,706.65 = 3,952.74/x
  3. Step 3: Cross multiply
    6,309.30x = 8,706.65 × 3,952.74
  4. Step 4: Simplify right side
    6,309.30x = 34,415,103.96
  5. Step 5: Solve for x
    x = 34,415,103.96/6,309.30
  6. Step 6: Final answer
    x = 5,454.66

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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.