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Finding the Fourth Proportional to 2,706.46, 4,060.02 and 857.23

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Solution

The fourth proportional to 2,706.46, 4,060.02 and 857.23 is: 1,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.46 : 4,060.02 = 857.23 : x
  2. Step 2: Convert to fraction form
    2,706.46/4,060.02 = 857.23/x
  3. Step 3: Cross multiply
    2,706.46x = 4,060.02 × 857.23
  4. Step 4: Simplify right side
    2,706.46x = 3,480,370.94
  5. Step 5: Solve for x
    x = 3,480,370.94/2,706.46
  6. Step 6: Final answer
    x = 1,285.95

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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.