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Finding the Fourth Proportional to 3,912.40, 5,840.08 and 3,420.40

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Solution

The fourth proportional to 3,912.40, 5,840.08 and 3,420.40 is: 5,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.40 : 5,840.08 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    3,912.40/5,840.08 = 3,420.40/x
  3. Step 3: Cross multiply
    3,912.40x = 5,840.08 × 3,420.40
  4. Step 4: Simplify right side
    3,912.40x = 19,975,409.63
  5. Step 5: Solve for x
    x = 19,975,409.63/3,912.40
  6. Step 6: Final answer
    x = 5,105.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.