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Finding the Fourth Proportional to 1,266.96, 1,747.77 and 1,092

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Solution

The fourth proportional to 1,266.96, 1,747.77 and 1,092 is: 1,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.96 : 1,747.77 = 1,092 : x
  2. Step 2: Convert to fraction form
    1,266.96/1,747.77 = 1,092/x
  3. Step 3: Cross multiply
    1,266.96x = 1,747.77 × 1,092
  4. Step 4: Simplify right side
    1,266.96x = 1,908,564.84
  5. Step 5: Solve for x
    x = 1,908,564.84/1,266.96
  6. Step 6: Final answer
    x = 1,506.41

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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.