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Finding the Fourth Proportional to 12,791.76, 19,188.24 and 7,858.32

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Solution

The fourth proportional to 12,791.76, 19,188.24 and 7,858.32 is: 11,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.76 : 19,188.24 = 7,858.32 : x
  2. Step 2: Convert to fraction form
    12,791.76/19,188.24 = 7,858.32/x
  3. Step 3: Cross multiply
    12,791.76x = 19,188.24 × 7,858.32
  4. Step 4: Simplify right side
    12,791.76x = 150,787,330.16
  5. Step 5: Solve for x
    x = 150,787,330.16/12,791.76
  6. Step 6: Final answer
    x = 11,787.85

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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.