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Finding the Fourth Proportional to 7,889.14, 11,841.90 and 5,811.48

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Solution

The fourth proportional to 7,889.14, 11,841.90 and 5,811.48 is: 8,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.14 : 11,841.90 = 5,811.48 : x
  2. Step 2: Convert to fraction form
    7,889.14/11,841.90 = 5,811.48/x
  3. Step 3: Cross multiply
    7,889.14x = 11,841.90 × 5,811.48
  4. Step 4: Simplify right side
    7,889.14x = 68,818,965.01
  5. Step 5: Solve for x
    x = 68,818,965.01/7,889.14
  6. Step 6: Final answer
    x = 8,723.25

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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.