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Finding the Fourth Proportional to 2,774.05, 3,827.21 and 1,779.86

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Solution

The fourth proportional to 2,774.05, 3,827.21 and 1,779.86 is: 2,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.05 : 3,827.21 = 1,779.86 : x
  2. Step 2: Convert to fraction form
    2,774.05/3,827.21 = 1,779.86/x
  3. Step 3: Cross multiply
    2,774.05x = 3,827.21 × 1,779.86
  4. Step 4: Simplify right side
    2,774.05x = 6,811,898.66
  5. Step 5: Solve for x
    x = 6,811,898.66/2,774.05
  6. Step 6: Final answer
    x = 2,455.58

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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.