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Finding the Fourth Proportional to 5,322.20, 7,986.74 and 2,400.32

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Solution

The fourth proportional to 5,322.20, 7,986.74 and 2,400.32 is: 3,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.20 : 7,986.74 = 2,400.32 : x
  2. Step 2: Convert to fraction form
    5,322.20/7,986.74 = 2,400.32/x
  3. Step 3: Cross multiply
    5,322.20x = 7,986.74 × 2,400.32
  4. Step 4: Simplify right side
    5,322.20x = 19,170,739.72
  5. Step 5: Solve for x
    x = 19,170,739.72/5,322.20
  6. Step 6: Final answer
    x = 3,602.04

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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.