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Finding the Fourth Proportional to 12,474.77, 18,716.56 and 7,789.34

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Solution

The fourth proportional to 12,474.77, 18,716.56 and 7,789.34 is: 11,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.77 : 18,716.56 = 7,789.34 : x
  2. Step 2: Convert to fraction form
    12,474.77/18,716.56 = 7,789.34/x
  3. Step 3: Cross multiply
    12,474.77x = 18,716.56 × 7,789.34
  4. Step 4: Simplify right side
    12,474.77x = 145,789,676.79
  5. Step 5: Solve for x
    x = 145,789,676.79/12,474.77
  6. Step 6: Final answer
    x = 11,686.77

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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.