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Finding the Fourth Proportional to 9,416.52, 12,993.36 and 5,382.64

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Solution

The fourth proportional to 9,416.52, 12,993.36 and 5,382.64 is: 7,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.52 : 12,993.36 = 5,382.64 : x
  2. Step 2: Convert to fraction form
    9,416.52/12,993.36 = 5,382.64/x
  3. Step 3: Cross multiply
    9,416.52x = 12,993.36 × 5,382.64
  4. Step 4: Simplify right side
    9,416.52x = 69,938,579.27
  5. Step 5: Solve for x
    x = 69,938,579.27/9,416.52
  6. Step 6: Final answer
    x = 7,427.22

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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.