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Finding the Fourth Proportional to 2,070.38, 3,105.58 and 609.55

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Solution

The fourth proportional to 2,070.38, 3,105.58 and 609.55 is: 914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.38 : 3,105.58 = 609.55 : x
  2. Step 2: Convert to fraction form
    2,070.38/3,105.58 = 609.55/x
  3. Step 3: Cross multiply
    2,070.38x = 3,105.58 × 609.55
  4. Step 4: Simplify right side
    2,070.38x = 1,893,006.29
  5. Step 5: Solve for x
    x = 1,893,006.29/2,070.38
  6. Step 6: Final answer
    x = 914.33

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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.