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Finding the Fourth Proportional to 13,078.76, 19,621.92 and 3,844.76

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Solution

The fourth proportional to 13,078.76, 19,621.92 and 3,844.76 is: 5,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.76 : 19,621.92 = 3,844.76 : x
  2. Step 2: Convert to fraction form
    13,078.76/19,621.92 = 3,844.76/x
  3. Step 3: Cross multiply
    13,078.76x = 19,621.92 × 3,844.76
  4. Step 4: Simplify right side
    13,078.76x = 75,441,573.14
  5. Step 5: Solve for x
    x = 75,441,573.14/13,078.76
  6. Step 6: Final answer
    x = 5,768.25

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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.