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Finding the Fourth Proportional to 3,800.91, 5,702.04 and 1,721.88

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Solution

The fourth proportional to 3,800.91, 5,702.04 and 1,721.88 is: 2,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.91 : 5,702.04 = 1,721.88 : x
  2. Step 2: Convert to fraction form
    3,800.91/5,702.04 = 1,721.88/x
  3. Step 3: Cross multiply
    3,800.91x = 5,702.04 × 1,721.88
  4. Step 4: Simplify right side
    3,800.91x = 9,818,228.64
  5. Step 5: Solve for x
    x = 9,818,228.64/3,800.91
  6. Step 6: Final answer
    x = 2,583.13

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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.