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Finding the Fourth Proportional to 2,842.75, 3,923 and 1,795.69

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Solution

The fourth proportional to 2,842.75, 3,923 and 1,795.69 is: 2,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.75 : 3,923 = 1,795.69 : x
  2. Step 2: Convert to fraction form
    2,842.75/3,923 = 1,795.69/x
  3. Step 3: Cross multiply
    2,842.75x = 3,923 × 1,795.69
  4. Step 4: Simplify right side
    2,842.75x = 7,044,491.87
  5. Step 5: Solve for x
    x = 7,044,491.87/2,842.75
  6. Step 6: Final answer
    x = 2,478.06

Related Problems

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Half scale
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Double scale
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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.