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Finding the Fourth Proportional to 6,464.38, 9,696.63 and 4,157.50

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Solution

The fourth proportional to 6,464.38, 9,696.63 and 4,157.50 is: 6,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.38 : 9,696.63 = 4,157.50 : x
  2. Step 2: Convert to fraction form
    6,464.38/9,696.63 = 4,157.50/x
  3. Step 3: Cross multiply
    6,464.38x = 9,696.63 × 4,157.50
  4. Step 4: Simplify right side
    6,464.38x = 40,313,739.23
  5. Step 5: Solve for x
    x = 40,313,739.23/6,464.38
  6. Step 6: Final answer
    x = 6,236.29

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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.