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Finding the Fourth Proportional to 5,656, 8,481.60 and 2,145.40

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Solution

The fourth proportional to 5,656, 8,481.60 and 2,145.40 is: 3,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656 : 8,481.60 = 2,145.40 : x
  2. Step 2: Convert to fraction form
    5,656/8,481.60 = 2,145.40/x
  3. Step 3: Cross multiply
    5,656x = 8,481.60 × 2,145.40
  4. Step 4: Simplify right side
    5,656x = 18,196,424.64
  5. Step 5: Solve for x
    x = 18,196,424.64/5,656
  6. Step 6: Final answer
    x = 3,217.19

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Why These Related Problems?

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