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Finding the Fourth Proportional to 2,480.51, 3,423.10 and 1,361.47

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Solution

The fourth proportional to 2,480.51, 3,423.10 and 1,361.47 is: 1,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.51 : 3,423.10 = 1,361.47 : x
  2. Step 2: Convert to fraction form
    2,480.51/3,423.10 = 1,361.47/x
  3. Step 3: Cross multiply
    2,480.51x = 3,423.10 × 1,361.47
  4. Step 4: Simplify right side
    2,480.51x = 4,660,447.96
  5. Step 5: Solve for x
    x = 4,660,447.96/2,480.51
  6. Step 6: Final answer
    x = 1,878.83

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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.