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Finding the Fourth Proportional to 6,305, 9,458.46 and 2,143.72

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Solution

The fourth proportional to 6,305, 9,458.46 and 2,143.72 is: 3,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305 : 9,458.46 = 2,143.72 : x
  2. Step 2: Convert to fraction form
    6,305/9,458.46 = 2,143.72/x
  3. Step 3: Cross multiply
    6,305x = 9,458.46 × 2,143.72
  4. Step 4: Simplify right side
    6,305x = 20,276,289.87
  5. Step 5: Solve for x
    x = 20,276,289.87/6,305
  6. Step 6: Final answer
    x = 3,215.91

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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.