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Finding the Fourth Proportional to 5,242.96, 7,857.96 and 2,646.64

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Solution

The fourth proportional to 5,242.96, 7,857.96 and 2,646.64 is: 3,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.96 : 7,857.96 = 2,646.64 : x
  2. Step 2: Convert to fraction form
    5,242.96/7,857.96 = 2,646.64/x
  3. Step 3: Cross multiply
    5,242.96x = 7,857.96 × 2,646.64
  4. Step 4: Simplify right side
    5,242.96x = 20,797,191.25
  5. Step 5: Solve for x
    x = 20,797,191.25/5,242.96
  6. Step 6: Final answer
    x = 3,966.69

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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.