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Finding the Fourth Proportional to 3,784.21, 5,671.08 and 1,931.42

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Solution

The fourth proportional to 3,784.21, 5,671.08 and 1,931.42 is: 2,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.21 : 5,671.08 = 1,931.42 : x
  2. Step 2: Convert to fraction form
    3,784.21/5,671.08 = 1,931.42/x
  3. Step 3: Cross multiply
    3,784.21x = 5,671.08 × 1,931.42
  4. Step 4: Simplify right side
    3,784.21x = 10,953,251.51
  5. Step 5: Solve for x
    x = 10,953,251.51/3,784.21
  6. Step 6: Final answer
    x = 2,894.46

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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.