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Finding the Fourth Proportional to 40,651.76, 60,977.64 and 12,949.76

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Solution

The fourth proportional to 40,651.76, 60,977.64 and 12,949.76 is: 19,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,651.76 : 60,977.64 = 12,949.76 : x
  2. Step 2: Convert to fraction form
    40,651.76/60,977.64 = 12,949.76/x
  3. Step 3: Cross multiply
    40,651.76x = 60,977.64 × 12,949.76
  4. Step 4: Simplify right side
    40,651.76x = 789,645,803.37
  5. Step 5: Solve for x
    x = 789,645,803.37/40,651.76
  6. Step 6: Final answer
    x = 19,424.64

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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.