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Finding the Fourth Proportional to 3,164.74, 4,361.17 and 2,278.87

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Solution

The fourth proportional to 3,164.74, 4,361.17 and 2,278.87 is: 3,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.74 : 4,361.17 = 2,278.87 : x
  2. Step 2: Convert to fraction form
    3,164.74/4,361.17 = 2,278.87/x
  3. Step 3: Cross multiply
    3,164.74x = 4,361.17 × 2,278.87
  4. Step 4: Simplify right side
    3,164.74x = 9,938,506.28
  5. Step 5: Solve for x
    x = 9,938,506.28/3,164.74
  6. Step 6: Final answer
    x = 3,140.39

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1.5x scale

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.