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Finding the Fourth Proportional to 6,890.96, 9,509.62 and 5,163.19

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Solution

The fourth proportional to 6,890.96, 9,509.62 and 5,163.19 is: 7,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.96 : 9,509.62 = 5,163.19 : x
  2. Step 2: Convert to fraction form
    6,890.96/9,509.62 = 5,163.19/x
  3. Step 3: Cross multiply
    6,890.96x = 9,509.62 × 5,163.19
  4. Step 4: Simplify right side
    6,890.96x = 49,099,993.23
  5. Step 5: Solve for x
    x = 49,099,993.23/6,890.96
  6. Step 6: Final answer
    x = 7,125.28

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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.