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Finding the Fourth Proportional to 2,706.80, 4,060.25 and 857.93

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Solution

The fourth proportional to 2,706.80, 4,060.25 and 857.93 is: 1,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.80 : 4,060.25 = 857.93 : x
  2. Step 2: Convert to fraction form
    2,706.80/4,060.25 = 857.93/x
  3. Step 3: Cross multiply
    2,706.80x = 4,060.25 × 857.93
  4. Step 4: Simplify right side
    2,706.80x = 3,483,405.99
  5. Step 5: Solve for x
    x = 3,483,405.99/2,706.80
  6. Step 6: Final answer
    x = 1,286.91

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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.