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Finding the Fourth Proportional to 2,106.98, 3,160.88 and 808.35

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Solution

The fourth proportional to 2,106.98, 3,160.88 and 808.35 is: 1,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.98 : 3,160.88 = 808.35 : x
  2. Step 2: Convert to fraction form
    2,106.98/3,160.88 = 808.35/x
  3. Step 3: Cross multiply
    2,106.98x = 3,160.88 × 808.35
  4. Step 4: Simplify right side
    2,106.98x = 2,555,103.32
  5. Step 5: Solve for x
    x = 2,555,103.32/2,106.98
  6. Step 6: Final answer
    x = 1,212.68

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1.5x scale

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.