Home / 2,902.25-4,005-1,575.93

Finding the Fourth Proportional to 2,902.25, 4,005 and 1,575.93

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Solution

The fourth proportional to 2,902.25, 4,005 and 1,575.93 is: 2,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.25 : 4,005 = 1,575.93 : x
  2. Step 2: Convert to fraction form
    2,902.25/4,005 = 1,575.93/x
  3. Step 3: Cross multiply
    2,902.25x = 4,005 × 1,575.93
  4. Step 4: Simplify right side
    2,902.25x = 6,311,599.65
  5. Step 5: Solve for x
    x = 6,311,599.65/2,902.25
  6. Step 6: Final answer
    x = 2,174.73

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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.