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Finding the Fourth Proportional to 2,106.69, 3,160.58 and 808.26

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Solution

The fourth proportional to 2,106.69, 3,160.58 and 808.26 is: 1,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.69 : 3,160.58 = 808.26 : x
  2. Step 2: Convert to fraction form
    2,106.69/3,160.58 = 808.26/x
  3. Step 3: Cross multiply
    2,106.69x = 3,160.58 × 808.26
  4. Step 4: Simplify right side
    2,106.69x = 2,554,566.35
  5. Step 5: Solve for x
    x = 2,554,566.35/2,106.69
  6. Step 6: Final answer
    x = 1,212.60

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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.