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Finding the Fourth Proportional to 4,289.40, 5,992.20 and 4,289.40

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Solution

The fourth proportional to 4,289.40, 5,992.20 and 4,289.40 is: 5,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.40 : 5,992.20 = 4,289.40 : x
  2. Step 2: Convert to fraction form
    4,289.40/5,992.20 = 4,289.40/x
  3. Step 3: Cross multiply
    4,289.40x = 5,992.20 × 4,289.40
  4. Step 4: Simplify right side
    4,289.40x = 25,702,942.68
  5. Step 5: Solve for x
    x = 25,702,942.68/4,289.40
  6. Step 6: Final answer
    x = 5,992.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.