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Finding the Fourth Proportional to 12,771.84, 19,277.73 and 12,771.84

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Solution

The fourth proportional to 12,771.84, 19,277.73 and 12,771.84 is: 19,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.84 : 19,277.73 = 12,771.84 : x
  2. Step 2: Convert to fraction form
    12,771.84/19,277.73 = 12,771.84/x
  3. Step 3: Cross multiply
    12,771.84x = 19,277.73 × 12,771.84
  4. Step 4: Simplify right side
    12,771.84x = 246,212,107.52
  5. Step 5: Solve for x
    x = 246,212,107.52/12,771.84
  6. Step 6: Final answer
    x = 19,277.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.