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Finding the Fourth Proportional to 9,811.94, 14,724.12 and 8,889.36

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Solution

The fourth proportional to 9,811.94, 14,724.12 and 8,889.36 is: 13,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.94 : 14,724.12 = 8,889.36 : x
  2. Step 2: Convert to fraction form
    9,811.94/14,724.12 = 8,889.36/x
  3. Step 3: Cross multiply
    9,811.94x = 14,724.12 × 8,889.36
  4. Step 4: Simplify right side
    9,811.94x = 130,888,003.36
  5. Step 5: Solve for x
    x = 130,888,003.36/9,811.94
  6. Step 6: Final answer
    x = 13,339.67

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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.