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Finding the Fourth Proportional to 11,183, 16,775.70 and 4,257.52

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Solution

The fourth proportional to 11,183, 16,775.70 and 4,257.52 is: 6,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183 : 16,775.70 = 4,257.52 : x
  2. Step 2: Convert to fraction form
    11,183/16,775.70 = 4,257.52/x
  3. Step 3: Cross multiply
    11,183x = 16,775.70 × 4,257.52
  4. Step 4: Simplify right side
    11,183x = 71,422,878.26
  5. Step 5: Solve for x
    x = 71,422,878.26/11,183
  6. Step 6: Final answer
    x = 6,386.74

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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.