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Finding the Fourth Proportional to 3,412, 4,707.98 and 1,919.98

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Solution

The fourth proportional to 3,412, 4,707.98 and 1,919.98 is: 2,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412 : 4,707.98 = 1,919.98 : x
  2. Step 2: Convert to fraction form
    3,412/4,707.98 = 1,919.98/x
  3. Step 3: Cross multiply
    3,412x = 4,707.98 × 1,919.98
  4. Step 4: Simplify right side
    3,412x = 9,039,227.44
  5. Step 5: Solve for x
    x = 9,039,227.44/3,412
  6. Step 6: Final answer
    x = 2,649.25

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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.