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Finding the Fourth Proportional to 5,419.66, 8,128.64 and 1,721.40

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Solution

The fourth proportional to 5,419.66, 8,128.64 and 1,721.40 is: 2,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.66 : 8,128.64 = 1,721.40 : x
  2. Step 2: Convert to fraction form
    5,419.66/8,128.64 = 1,721.40/x
  3. Step 3: Cross multiply
    5,419.66x = 8,128.64 × 1,721.40
  4. Step 4: Simplify right side
    5,419.66x = 13,992,611.97
  5. Step 5: Solve for x
    x = 13,992,611.97/5,419.66
  6. Step 6: Final answer
    x = 2,581.83

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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.