Home / 2,148.09-3,222-1,281.75

Finding the Fourth Proportional to 2,148.09, 3,222 and 1,281.75

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Solution

The fourth proportional to 2,148.09, 3,222 and 1,281.75 is: 1,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.09 : 3,222 = 1,281.75 : x
  2. Step 2: Convert to fraction form
    2,148.09/3,222 = 1,281.75/x
  3. Step 3: Cross multiply
    2,148.09x = 3,222 × 1,281.75
  4. Step 4: Simplify right side
    2,148.09x = 4,129,798.50
  5. Step 5: Solve for x
    x = 4,129,798.50/2,148.09
  6. Step 6: Final answer
    x = 1,922.54

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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.