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Finding the Fourth Proportional to 1,840.41, 2,542.22 and 1,813.64

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Solution

The fourth proportional to 1,840.41, 2,542.22 and 1,813.64 is: 2,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.41 : 2,542.22 = 1,813.64 : x
  2. Step 2: Convert to fraction form
    1,840.41/2,542.22 = 1,813.64/x
  3. Step 3: Cross multiply
    1,840.41x = 2,542.22 × 1,813.64
  4. Step 4: Simplify right side
    1,840.41x = 4,610,650.10
  5. Step 5: Solve for x
    x = 4,610,650.10/1,840.41
  6. Step 6: Final answer
    x = 2,505.23

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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.