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Finding the Fourth Proportional to 2,469.69, 3,407.87 and 1,350.47

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Solution

The fourth proportional to 2,469.69, 3,407.87 and 1,350.47 is: 1,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.69 : 3,407.87 = 1,350.47 : x
  2. Step 2: Convert to fraction form
    2,469.69/3,407.87 = 1,350.47/x
  3. Step 3: Cross multiply
    2,469.69x = 3,407.87 × 1,350.47
  4. Step 4: Simplify right side
    2,469.69x = 4,602,238.09
  5. Step 5: Solve for x
    x = 4,602,238.09/2,469.69
  6. Step 6: Final answer
    x = 1,863.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.