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Finding the Fourth Proportional to 10,889.16, 16,333.74 and 7,770.63

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Solution

The fourth proportional to 10,889.16, 16,333.74 and 7,770.63 is: 11,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.16 : 16,333.74 = 7,770.63 : x
  2. Step 2: Convert to fraction form
    10,889.16/16,333.74 = 7,770.63/x
  3. Step 3: Cross multiply
    10,889.16x = 16,333.74 × 7,770.63
  4. Step 4: Simplify right side
    10,889.16x = 126,923,450.06
  5. Step 5: Solve for x
    x = 126,923,450.06/10,889.16
  6. Step 6: Final answer
    x = 11,655.95

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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.