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Finding the Fourth Proportional to 2,686.01, 3,706.86 and 1,788.21

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Solution

The fourth proportional to 2,686.01, 3,706.86 and 1,788.21 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.01 : 3,706.86 = 1,788.21 : x
  2. Step 2: Convert to fraction form
    2,686.01/3,706.86 = 1,788.21/x
  3. Step 3: Cross multiply
    2,686.01x = 3,706.86 × 1,788.21
  4. Step 4: Simplify right side
    2,686.01x = 6,628,644.12
  5. Step 5: Solve for x
    x = 6,628,644.12/2,686.01
  6. Step 6: Final answer
    x = 2,467.85

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1.5x scale

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.