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Finding the Fourth Proportional to 5,568.16, 7,664.40 and 3,993.76

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Solution

The fourth proportional to 5,568.16, 7,664.40 and 3,993.76 is: 5,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.16 : 7,664.40 = 3,993.76 : x
  2. Step 2: Convert to fraction form
    5,568.16/7,664.40 = 3,993.76/x
  3. Step 3: Cross multiply
    5,568.16x = 7,664.40 × 3,993.76
  4. Step 4: Simplify right side
    5,568.16x = 30,609,774.14
  5. Step 5: Solve for x
    x = 30,609,774.14/5,568.16
  6. Step 6: Final answer
    x = 5,497.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.