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Finding the Fourth Proportional to 2,686.91, 3,706.88 and 1,625.00

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Solution

The fourth proportional to 2,686.91, 3,706.88 and 1,625.00 is: 2,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.91 : 3,706.88 = 1,625.00 : x
  2. Step 2: Convert to fraction form
    2,686.91/3,706.88 = 1,625.00/x
  3. Step 3: Cross multiply
    2,686.91x = 3,706.88 × 1,625.00
  4. Step 4: Simplify right side
    2,686.91x = 6,023,653.34
  5. Step 5: Solve for x
    x = 6,023,653.34/2,686.91
  6. Step 6: Final answer
    x = 2,241.86

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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.