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Finding the Fourth Proportional to 2,777.13, 3,832.02 and 1,782.54

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Solution

The fourth proportional to 2,777.13, 3,832.02 and 1,782.54 is: 2,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.13 : 3,832.02 = 1,782.54 : x
  2. Step 2: Convert to fraction form
    2,777.13/3,832.02 = 1,782.54/x
  3. Step 3: Cross multiply
    2,777.13x = 3,832.02 × 1,782.54
  4. Step 4: Simplify right side
    2,777.13x = 6,830,728.93
  5. Step 5: Solve for x
    x = 6,830,728.93/2,777.13
  6. Step 6: Final answer
    x = 2,459.64

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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.