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Finding the Fourth Proportional to 3,381, 5,070.54 and 1,433.16

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Solution

The fourth proportional to 3,381, 5,070.54 and 1,433.16 is: 2,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381 : 5,070.54 = 1,433.16 : x
  2. Step 2: Convert to fraction form
    3,381/5,070.54 = 1,433.16/x
  3. Step 3: Cross multiply
    3,381x = 5,070.54 × 1,433.16
  4. Step 4: Simplify right side
    3,381x = 7,266,895.11
  5. Step 5: Solve for x
    x = 7,266,895.11/3,381
  6. Step 6: Final answer
    x = 2,149.33

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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.