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Finding the Fourth Proportional to 11,731, 16,188.84 and 8,749.48

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Solution

The fourth proportional to 11,731, 16,188.84 and 8,749.48 is: 12,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731 : 16,188.84 = 8,749.48 : x
  2. Step 2: Convert to fraction form
    11,731/16,188.84 = 8,749.48/x
  3. Step 3: Cross multiply
    11,731x = 16,188.84 × 8,749.48
  4. Step 4: Simplify right side
    11,731x = 141,643,931.80
  5. Step 5: Solve for x
    x = 141,643,931.80/11,731
  6. Step 6: Final answer
    x = 12,074.33

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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.