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Finding the Fourth Proportional to 2,361.34, 3,259.11 and 1,800.80

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Solution

The fourth proportional to 2,361.34, 3,259.11 and 1,800.80 is: 2,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.34 : 3,259.11 = 1,800.80 : x
  2. Step 2: Convert to fraction form
    2,361.34/3,259.11 = 1,800.80/x
  3. Step 3: Cross multiply
    2,361.34x = 3,259.11 × 1,800.80
  4. Step 4: Simplify right side
    2,361.34x = 5,869,013.44
  5. Step 5: Solve for x
    x = 5,869,013.44/2,361.34
  6. Step 6: Final answer
    x = 2,485.46

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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.