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Finding the Fourth Proportional to 6,406.77, 9,610.44 and 3,122.64

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Solution

The fourth proportional to 6,406.77, 9,610.44 and 3,122.64 is: 4,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.77 : 9,610.44 = 3,122.64 : x
  2. Step 2: Convert to fraction form
    6,406.77/9,610.44 = 3,122.64/x
  3. Step 3: Cross multiply
    6,406.77x = 9,610.44 × 3,122.64
  4. Step 4: Simplify right side
    6,406.77x = 30,009,944.36
  5. Step 5: Solve for x
    x = 30,009,944.36/6,406.77
  6. Step 6: Final answer
    x = 4,684.10

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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.