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Finding the Fourth Proportional to 3,415.78, 5,127.18 and 1,771.89

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Solution

The fourth proportional to 3,415.78, 5,127.18 and 1,771.89 is: 2,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.78 : 5,127.18 = 1,771.89 : x
  2. Step 2: Convert to fraction form
    3,415.78/5,127.18 = 1,771.89/x
  3. Step 3: Cross multiply
    3,415.78x = 5,127.18 × 1,771.89
  4. Step 4: Simplify right side
    3,415.78x = 9,084,798.97
  5. Step 5: Solve for x
    x = 9,084,798.97/3,415.78
  6. Step 6: Final answer
    x = 2,659.66

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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.