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Finding the Fourth Proportional to 2,777.16, 3,832.34 and 1,534.92

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Solution

The fourth proportional to 2,777.16, 3,832.34 and 1,534.92 is: 2,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.16 : 3,832.34 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    2,777.16/3,832.34 = 1,534.92/x
  3. Step 3: Cross multiply
    2,777.16x = 3,832.34 × 1,534.92
  4. Step 4: Simplify right side
    2,777.16x = 5,882,335.31
  5. Step 5: Solve for x
    x = 5,882,335.31/2,777.16
  6. Step 6: Final answer
    x = 2,118.11

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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.