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Finding the Fourth Proportional to 3,842.81, 5,303.09 and 2,164.24

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Solution

The fourth proportional to 3,842.81, 5,303.09 and 2,164.24 is: 2,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.81 : 5,303.09 = 2,164.24 : x
  2. Step 2: Convert to fraction form
    3,842.81/5,303.09 = 2,164.24/x
  3. Step 3: Cross multiply
    3,842.81x = 5,303.09 × 2,164.24
  4. Step 4: Simplify right side
    3,842.81x = 11,477,171.54
  5. Step 5: Solve for x
    x = 11,477,171.54/3,842.81
  6. Step 6: Final answer
    x = 2,986.67

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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.