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Finding the Fourth Proportional to 3,920.48, 5,878.56 and 1,726.64

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Solution

The fourth proportional to 3,920.48, 5,878.56 and 1,726.64 is: 2,589.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.48 : 5,878.56 = 1,726.64 : x
  2. Step 2: Convert to fraction form
    3,920.48/5,878.56 = 1,726.64/x
  3. Step 3: Cross multiply
    3,920.48x = 5,878.56 × 1,726.64
  4. Step 4: Simplify right side
    3,920.48x = 10,150,156.84
  5. Step 5: Solve for x
    x = 10,150,156.84/3,920.48
  6. Step 6: Final answer
    x = 2,589.01

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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.