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Finding the Fourth Proportional to 1,961.67, 2,707.07 and 1,077.47

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Solution

The fourth proportional to 1,961.67, 2,707.07 and 1,077.47 is: 1,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.67 : 2,707.07 = 1,077.47 : x
  2. Step 2: Convert to fraction form
    1,961.67/2,707.07 = 1,077.47/x
  3. Step 3: Cross multiply
    1,961.67x = 2,707.07 × 1,077.47
  4. Step 4: Simplify right side
    1,961.67x = 2,916,786.71
  5. Step 5: Solve for x
    x = 2,916,786.71/1,961.67
  6. Step 6: Final answer
    x = 1,486.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.