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Finding the Fourth Proportional to 9,964.49, 13,745.83 and 8,078.21

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Solution

The fourth proportional to 9,964.49, 13,745.83 and 8,078.21 is: 11,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.49 : 13,745.83 = 8,078.21 : x
  2. Step 2: Convert to fraction form
    9,964.49/13,745.83 = 8,078.21/x
  3. Step 3: Cross multiply
    9,964.49x = 13,745.83 × 8,078.21
  4. Step 4: Simplify right side
    9,964.49x = 111,041,701.36
  5. Step 5: Solve for x
    x = 111,041,701.36/9,964.49
  6. Step 6: Final answer
    x = 11,143.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.