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Finding the Fourth Proportional to 2,070.39, 3,106.17 and 609.51

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Solution

The fourth proportional to 2,070.39, 3,106.17 and 609.51 is: 914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.39 : 3,106.17 = 609.51 : x
  2. Step 2: Convert to fraction form
    2,070.39/3,106.17 = 609.51/x
  3. Step 3: Cross multiply
    2,070.39x = 3,106.17 × 609.51
  4. Step 4: Simplify right side
    2,070.39x = 1,893,241.68
  5. Step 5: Solve for x
    x = 1,893,241.68/2,070.39
  6. Step 6: Final answer
    x = 914.44

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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.