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Finding the Fourth Proportional to 2,782.75, 3,840.32 and 1,540.75

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Solution

The fourth proportional to 2,782.75, 3,840.32 and 1,540.75 is: 2,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.75 : 3,840.32 = 1,540.75 : x
  2. Step 2: Convert to fraction form
    2,782.75/3,840.32 = 1,540.75/x
  3. Step 3: Cross multiply
    2,782.75x = 3,840.32 × 1,540.75
  4. Step 4: Simplify right side
    2,782.75x = 5,916,965.34
  5. Step 5: Solve for x
    x = 5,916,965.34/2,782.75
  6. Step 6: Final answer
    x = 2,126.30

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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.