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Finding the Fourth Proportional to 5,282.88, 7,921.64 and 1,771.66

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Solution

The fourth proportional to 5,282.88, 7,921.64 and 1,771.66 is: 2,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.88 : 7,921.64 = 1,771.66 : x
  2. Step 2: Convert to fraction form
    5,282.88/7,921.64 = 1,771.66/x
  3. Step 3: Cross multiply
    5,282.88x = 7,921.64 × 1,771.66
  4. Step 4: Simplify right side
    5,282.88x = 14,034,452.72
  5. Step 5: Solve for x
    x = 14,034,452.72/5,282.88
  6. Step 6: Final answer
    x = 2,656.59

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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.