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Finding the Fourth Proportional to 1,886.80, 2,830.26 and 1,611.16

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Solution

The fourth proportional to 1,886.80, 2,830.26 and 1,611.16 is: 2,416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.80 : 2,830.26 = 1,611.16 : x
  2. Step 2: Convert to fraction form
    1,886.80/2,830.26 = 1,611.16/x
  3. Step 3: Cross multiply
    1,886.80x = 2,830.26 × 1,611.16
  4. Step 4: Simplify right side
    1,886.80x = 4,560,001.70
  5. Step 5: Solve for x
    x = 4,560,001.70/1,886.80
  6. Step 6: Final answer
    x = 2,416.79

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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.