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Finding the Fourth Proportional to 4,170.69, 5,754.69 and 2,678.40

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Solution

The fourth proportional to 4,170.69, 5,754.69 and 2,678.40 is: 3,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.69 : 5,754.69 = 2,678.40 : x
  2. Step 2: Convert to fraction form
    4,170.69/5,754.69 = 2,678.40/x
  3. Step 3: Cross multiply
    4,170.69x = 5,754.69 × 2,678.40
  4. Step 4: Simplify right side
    4,170.69x = 15,413,361.70
  5. Step 5: Solve for x
    x = 15,413,361.70/4,170.69
  6. Step 6: Final answer
    x = 3,695.64

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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.