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Finding the Fourth Proportional to 2,779.81, 3,835.49 and 1,661.11

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Solution

The fourth proportional to 2,779.81, 3,835.49 and 1,661.11 is: 2,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.81 : 3,835.49 = 1,661.11 : x
  2. Step 2: Convert to fraction form
    2,779.81/3,835.49 = 1,661.11/x
  3. Step 3: Cross multiply
    2,779.81x = 3,835.49 × 1,661.11
  4. Step 4: Simplify right side
    2,779.81x = 6,371,143.31
  5. Step 5: Solve for x
    x = 6,371,143.31/2,779.81
  6. Step 6: Final answer
    x = 2,291.94

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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.