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Finding the Fourth Proportional to 2,773.36, 3,827.08 and 1,655.56

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Solution

The fourth proportional to 2,773.36, 3,827.08 and 1,655.56 is: 2,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.36 : 3,827.08 = 1,655.56 : x
  2. Step 2: Convert to fraction form
    2,773.36/3,827.08 = 1,655.56/x
  3. Step 3: Cross multiply
    2,773.36x = 3,827.08 × 1,655.56
  4. Step 4: Simplify right side
    2,773.36x = 6,335,960.56
  5. Step 5: Solve for x
    x = 6,335,960.56/2,773.36
  6. Step 6: Final answer
    x = 2,284.58

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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.