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Finding the Fourth Proportional to 2,519.07, 3,778.61 and 670.38

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Solution

The fourth proportional to 2,519.07, 3,778.61 and 670.38 is: 1,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.07 : 3,778.61 = 670.38 : x
  2. Step 2: Convert to fraction form
    2,519.07/3,778.61 = 670.38/x
  3. Step 3: Cross multiply
    2,519.07x = 3,778.61 × 670.38
  4. Step 4: Simplify right side
    2,519.07x = 2,533,101.22
  5. Step 5: Solve for x
    x = 2,533,101.22/2,519.07
  6. Step 6: Final answer
    x = 1,005.57

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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.