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Finding the Fourth Proportional to 3,801.62, 5,703.53 and 1,954.05

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Solution

The fourth proportional to 3,801.62, 5,703.53 and 1,954.05 is: 2,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.62 : 5,703.53 = 1,954.05 : x
  2. Step 2: Convert to fraction form
    3,801.62/5,703.53 = 1,954.05/x
  3. Step 3: Cross multiply
    3,801.62x = 5,703.53 × 1,954.05
  4. Step 4: Simplify right side
    3,801.62x = 11,144,973.03
  5. Step 5: Solve for x
    x = 11,144,973.03/3,801.62
  6. Step 6: Final answer
    x = 2,931.64

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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.