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Finding the Fourth Proportional to 2,782.96, 3,840.53 and 1,523.99

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Solution

The fourth proportional to 2,782.96, 3,840.53 and 1,523.99 is: 2,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.96 : 3,840.53 = 1,523.99 : x
  2. Step 2: Convert to fraction form
    2,782.96/3,840.53 = 1,523.99/x
  3. Step 3: Cross multiply
    2,782.96x = 3,840.53 × 1,523.99
  4. Step 4: Simplify right side
    2,782.96x = 5,852,921.69
  5. Step 5: Solve for x
    x = 5,852,921.69/2,782.96
  6. Step 6: Final answer
    x = 2,103.13

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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.