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Finding the Fourth Proportional to 3,175, 4,381.50 and 1,777.78

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Solution

The fourth proportional to 3,175, 4,381.50 and 1,777.78 is: 2,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175 : 4,381.50 = 1,777.78 : x
  2. Step 2: Convert to fraction form
    3,175/4,381.50 = 1,777.78/x
  3. Step 3: Cross multiply
    3,175x = 4,381.50 × 1,777.78
  4. Step 4: Simplify right side
    3,175x = 7,789,343.07
  5. Step 5: Solve for x
    x = 7,789,343.07/3,175
  6. Step 6: Final answer
    x = 2,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.