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Finding the Fourth Proportional to 2,706.55, 4,060.53 and 857.69

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Solution

The fourth proportional to 2,706.55, 4,060.53 and 857.69 is: 1,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.55 : 4,060.53 = 857.69 : x
  2. Step 2: Convert to fraction form
    2,706.55/4,060.53 = 857.69/x
  3. Step 3: Cross multiply
    2,706.55x = 4,060.53 × 857.69
  4. Step 4: Simplify right side
    2,706.55x = 3,482,675.98
  5. Step 5: Solve for x
    x = 3,482,675.98/2,706.55
  6. Step 6: Final answer
    x = 1,286.76

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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.