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Finding the Fourth Proportional to 11,777.78, 17,667.29 and 3,012.77

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Solution

The fourth proportional to 11,777.78, 17,667.29 and 3,012.77 is: 4,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.78 : 17,667.29 = 3,012.77 : x
  2. Step 2: Convert to fraction form
    11,777.78/17,667.29 = 3,012.77/x
  3. Step 3: Cross multiply
    11,777.78x = 17,667.29 × 3,012.77
  4. Step 4: Simplify right side
    11,777.78x = 53,227,466.23
  5. Step 5: Solve for x
    x = 53,227,466.23/11,777.78
  6. Step 6: Final answer
    x = 4,519.31

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1.5x scale

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.