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Finding the Fourth Proportional to 2,774.55, 4,162.53 and 826.77

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Solution

The fourth proportional to 2,774.55, 4,162.53 and 826.77 is: 1,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.55 : 4,162.53 = 826.77 : x
  2. Step 2: Convert to fraction form
    2,774.55/4,162.53 = 826.77/x
  3. Step 3: Cross multiply
    2,774.55x = 4,162.53 × 826.77
  4. Step 4: Simplify right side
    2,774.55x = 3,441,454.93
  5. Step 5: Solve for x
    x = 3,441,454.93/2,774.55
  6. Step 6: Final answer
    x = 1,240.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.