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Finding the Fourth Proportional to 6,400.38, 9,585.09 and 5,296.62

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Solution

The fourth proportional to 6,400.38, 9,585.09 and 5,296.62 is: 7,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.38 : 9,585.09 = 5,296.62 : x
  2. Step 2: Convert to fraction form
    6,400.38/9,585.09 = 5,296.62/x
  3. Step 3: Cross multiply
    6,400.38x = 9,585.09 × 5,296.62
  4. Step 4: Simplify right side
    6,400.38x = 50,768,579.40
  5. Step 5: Solve for x
    x = 50,768,579.40/6,400.38
  6. Step 6: Final answer
    x = 7,932.12

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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.