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Finding the Fourth Proportional to 2,774.04, 3,827.19 and 1,779.87

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Solution

The fourth proportional to 2,774.04, 3,827.19 and 1,779.87 is: 2,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.04 : 3,827.19 = 1,779.87 : x
  2. Step 2: Convert to fraction form
    2,774.04/3,827.19 = 1,779.87/x
  3. Step 3: Cross multiply
    2,774.04x = 3,827.19 × 1,779.87
  4. Step 4: Simplify right side
    2,774.04x = 6,811,900.67
  5. Step 5: Solve for x
    x = 6,811,900.67/2,774.04
  6. Step 6: Final answer
    x = 2,455.59

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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.