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Finding the Fourth Proportional to 7,889.52, 11,830.86 and 4,190.94

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Solution

The fourth proportional to 7,889.52, 11,830.86 and 4,190.94 is: 6,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.52 : 11,830.86 = 4,190.94 : x
  2. Step 2: Convert to fraction form
    7,889.52/11,830.86 = 4,190.94/x
  3. Step 3: Cross multiply
    7,889.52x = 11,830.86 × 4,190.94
  4. Step 4: Simplify right side
    7,889.52x = 49,582,424.41
  5. Step 5: Solve for x
    x = 49,582,424.41/7,889.52
  6. Step 6: Final answer
    x = 6,284.59

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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.