Home / 2,302.08-3,454.14-1,206.19

Finding the Fourth Proportional to 2,302.08, 3,454.14 and 1,206.19

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Solution

The fourth proportional to 2,302.08, 3,454.14 and 1,206.19 is: 1,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.08 : 3,454.14 = 1,206.19 : x
  2. Step 2: Convert to fraction form
    2,302.08/3,454.14 = 1,206.19/x
  3. Step 3: Cross multiply
    2,302.08x = 3,454.14 × 1,206.19
  4. Step 4: Simplify right side
    2,302.08x = 4,166,338.44
  5. Step 5: Solve for x
    x = 4,166,338.44/2,302.08
  6. Step 6: Final answer
    x = 1,809.82

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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.