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Finding the Fourth Proportional to 20,460.74, 30,684.56 and 7,977.71

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Solution

The fourth proportional to 20,460.74, 30,684.56 and 7,977.71 is: 11,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.74 : 30,684.56 = 7,977.71 : x
  2. Step 2: Convert to fraction form
    20,460.74/30,684.56 = 7,977.71/x
  3. Step 3: Cross multiply
    20,460.74x = 30,684.56 × 7,977.71
  4. Step 4: Simplify right side
    20,460.74x = 244,792,557.98
  5. Step 5: Solve for x
    x = 244,792,557.98/20,460.74
  6. Step 6: Final answer
    x = 11,964.02

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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.