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Finding the Fourth Proportional to 2,777.34, 3,832.26 and 1,782.42

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Solution

The fourth proportional to 2,777.34, 3,832.26 and 1,782.42 is: 2,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.34 : 3,832.26 = 1,782.42 : x
  2. Step 2: Convert to fraction form
    2,777.34/3,832.26 = 1,782.42/x
  3. Step 3: Cross multiply
    2,777.34x = 3,832.26 × 1,782.42
  4. Step 4: Simplify right side
    2,777.34x = 6,830,696.87
  5. Step 5: Solve for x
    x = 6,830,696.87/2,777.34
  6. Step 6: Final answer
    x = 2,459.44

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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.