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Finding the Fourth Proportional to 7,568.40, 11,356.02 and 3,406.10

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Solution

The fourth proportional to 7,568.40, 11,356.02 and 3,406.10 is: 5,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.40 : 11,356.02 = 3,406.10 : x
  2. Step 2: Convert to fraction form
    7,568.40/11,356.02 = 3,406.10/x
  3. Step 3: Cross multiply
    7,568.40x = 11,356.02 × 3,406.10
  4. Step 4: Simplify right side
    7,568.40x = 38,679,739.72
  5. Step 5: Solve for x
    x = 38,679,739.72/7,568.40
  6. Step 6: Final answer
    x = 5,110.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.