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Finding the Fourth Proportional to 1,262.88, 1,900.94 and 1,152.12

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Solution

The fourth proportional to 1,262.88, 1,900.94 and 1,152.12 is: 1,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.88 : 1,900.94 = 1,152.12 : x
  2. Step 2: Convert to fraction form
    1,262.88/1,900.94 = 1,152.12/x
  3. Step 3: Cross multiply
    1,262.88x = 1,900.94 × 1,152.12
  4. Step 4: Simplify right side
    1,262.88x = 2,190,110.99
  5. Step 5: Solve for x
    x = 2,190,110.99/1,262.88
  6. Step 6: Final answer
    x = 1,734.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.