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Finding the Fourth Proportional to 7,183.59, 10,775.94 and 1,989.46

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Solution

The fourth proportional to 7,183.59, 10,775.94 and 1,989.46 is: 2,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.59 : 10,775.94 = 1,989.46 : x
  2. Step 2: Convert to fraction form
    7,183.59/10,775.94 = 1,989.46/x
  3. Step 3: Cross multiply
    7,183.59x = 10,775.94 × 1,989.46
  4. Step 4: Simplify right side
    7,183.59x = 21,438,301.59
  5. Step 5: Solve for x
    x = 21,438,301.59/7,183.59
  6. Step 6: Final answer
    x = 2,984.34

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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.