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Finding the Fourth Proportional to 2,782.70, 3,840.19 and 1,523.81

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Solution

The fourth proportional to 2,782.70, 3,840.19 and 1,523.81 is: 2,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.70 : 3,840.19 = 1,523.81 : x
  2. Step 2: Convert to fraction form
    2,782.70/3,840.19 = 1,523.81/x
  3. Step 3: Cross multiply
    2,782.70x = 3,840.19 × 1,523.81
  4. Step 4: Simplify right side
    2,782.70x = 5,851,725.71
  5. Step 5: Solve for x
    x = 5,851,725.71/2,782.70
  6. Step 6: Final answer
    x = 2,102.90

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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.