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Finding the Fourth Proportional to 2,782.83, 3,840.35 and 1,540.83

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Solution

The fourth proportional to 2,782.83, 3,840.35 and 1,540.83 is: 2,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.83 : 3,840.35 = 1,540.83 : x
  2. Step 2: Convert to fraction form
    2,782.83/3,840.35 = 1,540.83/x
  3. Step 3: Cross multiply
    2,782.83x = 3,840.35 × 1,540.83
  4. Step 4: Simplify right side
    2,782.83x = 5,917,318.79
  5. Step 5: Solve for x
    x = 5,917,318.79/2,782.83
  6. Step 6: Final answer
    x = 2,126.37

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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.