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Finding the Fourth Proportional to 5,568.40, 7,684.80 and 3,210.88

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Solution

The fourth proportional to 5,568.40, 7,684.80 and 3,210.88 is: 4,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.40 : 7,684.80 = 3,210.88 : x
  2. Step 2: Convert to fraction form
    5,568.40/7,684.80 = 3,210.88/x
  3. Step 3: Cross multiply
    5,568.40x = 7,684.80 × 3,210.88
  4. Step 4: Simplify right side
    5,568.40x = 24,674,970.62
  5. Step 5: Solve for x
    x = 24,674,970.62/5,568.40
  6. Step 6: Final answer
    x = 4,431.25

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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.