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Finding the Fourth Proportional to 3,838.13, 5,754.13 and 1,989.53

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Solution

The fourth proportional to 3,838.13, 5,754.13 and 1,989.53 is: 2,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.13 : 5,754.13 = 1,989.53 : x
  2. Step 2: Convert to fraction form
    3,838.13/5,754.13 = 1,989.53/x
  3. Step 3: Cross multiply
    3,838.13x = 5,754.13 × 1,989.53
  4. Step 4: Simplify right side
    3,838.13x = 11,447,980.51
  5. Step 5: Solve for x
    x = 11,447,980.51/3,838.13
  6. Step 6: Final answer
    x = 2,982.70

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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.