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Finding the Fourth Proportional to 2,779.24, 3,836.01 and 1,786.87

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Solution

The fourth proportional to 2,779.24, 3,836.01 and 1,786.87 is: 2,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.24 : 3,836.01 = 1,786.87 : x
  2. Step 2: Convert to fraction form
    2,779.24/3,836.01 = 1,786.87/x
  3. Step 3: Cross multiply
    2,779.24x = 3,836.01 × 1,786.87
  4. Step 4: Simplify right side
    2,779.24x = 6,854,451.19
  5. Step 5: Solve for x
    x = 6,854,451.19/2,779.24
  6. Step 6: Final answer
    x = 2,466.30

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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.