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Finding the Fourth Proportional to 1,840.53, 2,540.22 and 1,779.78

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Solution

The fourth proportional to 1,840.53, 2,540.22 and 1,779.78 is: 2,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.53 : 2,540.22 = 1,779.78 : x
  2. Step 2: Convert to fraction form
    1,840.53/2,540.22 = 1,779.78/x
  3. Step 3: Cross multiply
    1,840.53x = 2,540.22 × 1,779.78
  4. Step 4: Simplify right side
    1,840.53x = 4,521,032.75
  5. Step 5: Solve for x
    x = 4,521,032.75/1,840.53
  6. Step 6: Final answer
    x = 2,456.38

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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.