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Finding the Fourth Proportional to 6,405.25, 8,839.25 and 3,461.25

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Solution

The fourth proportional to 6,405.25, 8,839.25 and 3,461.25 is: 4,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.25 : 8,839.25 = 3,461.25 : x
  2. Step 2: Convert to fraction form
    6,405.25/8,839.25 = 3,461.25/x
  3. Step 3: Cross multiply
    6,405.25x = 8,839.25 × 3,461.25
  4. Step 4: Simplify right side
    6,405.25x = 30,594,854.06
  5. Step 5: Solve for x
    x = 30,594,854.06/6,405.25
  6. Step 6: Final answer
    x = 4,776.53

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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.