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Finding the Fourth Proportional to 2,706.17, 4,059.72 and 857.81

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Solution

The fourth proportional to 2,706.17, 4,059.72 and 857.81 is: 1,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.17 : 4,059.72 = 857.81 : x
  2. Step 2: Convert to fraction form
    2,706.17/4,059.72 = 857.81/x
  3. Step 3: Cross multiply
    2,706.17x = 4,059.72 × 857.81
  4. Step 4: Simplify right side
    2,706.17x = 3,482,448.11
  5. Step 5: Solve for x
    x = 3,482,448.11/2,706.17
  6. Step 6: Final answer
    x = 1,286.85

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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.