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Finding the Fourth Proportional to 2,512.90, 3,770.82 and 1,051.93

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Solution

The fourth proportional to 2,512.90, 3,770.82 and 1,051.93 is: 1,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.90 : 3,770.82 = 1,051.93 : x
  2. Step 2: Convert to fraction form
    2,512.90/3,770.82 = 1,051.93/x
  3. Step 3: Cross multiply
    2,512.90x = 3,770.82 × 1,051.93
  4. Step 4: Simplify right side
    2,512.90x = 3,966,638.68
  5. Step 5: Solve for x
    x = 3,966,638.68/2,512.90
  6. Step 6: Final answer
    x = 1,578.51

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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.