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Finding the Fourth Proportional to 5,393, 7,440.58 and 3,405.64

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Solution

The fourth proportional to 5,393, 7,440.58 and 3,405.64 is: 4,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393 : 7,440.58 = 3,405.64 : x
  2. Step 2: Convert to fraction form
    5,393/7,440.58 = 3,405.64/x
  3. Step 3: Cross multiply
    5,393x = 7,440.58 × 3,405.64
  4. Step 4: Simplify right side
    5,393x = 25,339,936.87
  5. Step 5: Solve for x
    x = 25,339,936.87/5,393
  6. Step 6: Final answer
    x = 4,698.67

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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.