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Finding the Fourth Proportional to 3,306.68, 4,564.64 and 2,188.16

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Solution

The fourth proportional to 3,306.68, 4,564.64 and 2,188.16 is: 3,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.68 : 4,564.64 = 2,188.16 : x
  2. Step 2: Convert to fraction form
    3,306.68/4,564.64 = 2,188.16/x
  3. Step 3: Cross multiply
    3,306.68x = 4,564.64 × 2,188.16
  4. Step 4: Simplify right side
    3,306.68x = 9,988,162.66
  5. Step 5: Solve for x
    x = 9,988,162.66/3,306.68
  6. Step 6: Final answer
    x = 3,020.60

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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.