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Finding the Fourth Proportional to 3,802.05, 5,701.25 and 1,952.21

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Solution

The fourth proportional to 3,802.05, 5,701.25 and 1,952.21 is: 2,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.05 : 5,701.25 = 1,952.21 : x
  2. Step 2: Convert to fraction form
    3,802.05/5,701.25 = 1,952.21/x
  3. Step 3: Cross multiply
    3,802.05x = 5,701.25 × 1,952.21
  4. Step 4: Simplify right side
    3,802.05x = 11,130,056.40
  5. Step 5: Solve for x
    x = 11,130,056.40/3,802.05
  6. Step 6: Final answer
    x = 2,927.38

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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.