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Finding the Fourth Proportional to 1,272.21, 1,906.93 and 832.07

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Solution

The fourth proportional to 1,272.21, 1,906.93 and 832.07 is: 1,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.21 : 1,906.93 = 832.07 : x
  2. Step 2: Convert to fraction form
    1,272.21/1,906.93 = 832.07/x
  3. Step 3: Cross multiply
    1,272.21x = 1,906.93 × 832.07
  4. Step 4: Simplify right side
    1,272.21x = 1,586,699.25
  5. Step 5: Solve for x
    x = 1,586,699.25/1,272.21
  6. Step 6: Final answer
    x = 1,247.20

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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.