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Finding the Fourth Proportional to 6,220.84, 8,584.50 and 3,426.16

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Solution

The fourth proportional to 6,220.84, 8,584.50 and 3,426.16 is: 4,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,220.84 : 8,584.50 = 3,426.16 : x
  2. Step 2: Convert to fraction form
    6,220.84/8,584.50 = 3,426.16/x
  3. Step 3: Cross multiply
    6,220.84x = 8,584.50 × 3,426.16
  4. Step 4: Simplify right side
    6,220.84x = 29,411,870.52
  5. Step 5: Solve for x
    x = 29,411,870.52/6,220.84
  6. Step 6: Final answer
    x = 4,727.96

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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.