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Finding the Fourth Proportional to 12,772.40, 17,623.85 and 7,991.78

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Solution

The fourth proportional to 12,772.40, 17,623.85 and 7,991.78 is: 11,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.40 : 17,623.85 = 7,991.78 : x
  2. Step 2: Convert to fraction form
    12,772.40/17,623.85 = 7,991.78/x
  3. Step 3: Cross multiply
    12,772.40x = 17,623.85 × 7,991.78
  4. Step 4: Simplify right side
    12,772.40x = 140,845,803.87
  5. Step 5: Solve for x
    x = 140,845,803.87/12,772.40
  6. Step 6: Final answer
    x = 11,027.36

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1.5x scale

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.