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Finding the Fourth Proportional to 3,412.96, 5,119.26 and 1,681

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Solution

The fourth proportional to 3,412.96, 5,119.26 and 1,681 is: 2,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.96 : 5,119.26 = 1,681 : x
  2. Step 2: Convert to fraction form
    3,412.96/5,119.26 = 1,681/x
  3. Step 3: Cross multiply
    3,412.96x = 5,119.26 × 1,681
  4. Step 4: Simplify right side
    3,412.96x = 8,605,476.06
  5. Step 5: Solve for x
    x = 8,605,476.06/3,412.96
  6. Step 6: Final answer
    x = 2,521.41

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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.