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Finding the Fourth Proportional to 5,784.74, 7,982.93 and 3,132.15

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Solution

The fourth proportional to 5,784.74, 7,982.93 and 3,132.15 is: 4,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.74 : 7,982.93 = 3,132.15 : x
  2. Step 2: Convert to fraction form
    5,784.74/7,982.93 = 3,132.15/x
  3. Step 3: Cross multiply
    5,784.74x = 7,982.93 × 3,132.15
  4. Step 4: Simplify right side
    5,784.74x = 25,003,734.20
  5. Step 5: Solve for x
    x = 25,003,734.20/5,784.74
  6. Step 6: Final answer
    x = 4,322.36

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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.