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Finding the Fourth Proportional to 6,969.86, 10,455.54 and 3,021.54

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Solution

The fourth proportional to 6,969.86, 10,455.54 and 3,021.54 is: 4,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.86 : 10,455.54 = 3,021.54 : x
  2. Step 2: Convert to fraction form
    6,969.86/10,455.54 = 3,021.54/x
  3. Step 3: Cross multiply
    6,969.86x = 10,455.54 × 3,021.54
  4. Step 4: Simplify right side
    6,969.86x = 31,591,832.33
  5. Step 5: Solve for x
    x = 31,591,832.33/6,969.86
  6. Step 6: Final answer
    x = 4,532.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.