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Finding the Fourth Proportional to 7,170.78, 10,746.60 and 3,832.19

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Solution

The fourth proportional to 7,170.78, 10,746.60 and 3,832.19 is: 5,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.78 : 10,746.60 = 3,832.19 : x
  2. Step 2: Convert to fraction form
    7,170.78/10,746.60 = 3,832.19/x
  3. Step 3: Cross multiply
    7,170.78x = 10,746.60 × 3,832.19
  4. Step 4: Simplify right side
    7,170.78x = 41,182,959.32
  5. Step 5: Solve for x
    x = 41,182,959.32/7,170.78
  6. Step 6: Final answer
    x = 5,743.16

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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.