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Finding the Fourth Proportional to 12,761, 19,143.66 and 3,994.20

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Solution

The fourth proportional to 12,761, 19,143.66 and 3,994.20 is: 5,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761 : 19,143.66 = 3,994.20 : x
  2. Step 2: Convert to fraction form
    12,761/19,143.66 = 3,994.20/x
  3. Step 3: Cross multiply
    12,761x = 19,143.66 × 3,994.20
  4. Step 4: Simplify right side
    12,761x = 76,463,606.77
  5. Step 5: Solve for x
    x = 76,463,606.77/12,761
  6. Step 6: Final answer
    x = 5,991.98

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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.