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Finding the Fourth Proportional to 2,906.16, 4,009 and 2,586.96

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Solution

The fourth proportional to 2,906.16, 4,009 and 2,586.96 is: 3,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.16 : 4,009 = 2,586.96 : x
  2. Step 2: Convert to fraction form
    2,906.16/4,009 = 2,586.96/x
  3. Step 3: Cross multiply
    2,906.16x = 4,009 × 2,586.96
  4. Step 4: Simplify right side
    2,906.16x = 10,371,122.64
  5. Step 5: Solve for x
    x = 10,371,122.64/2,906.16
  6. Step 6: Final answer
    x = 3,568.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.