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Finding the Fourth Proportional to 9,146.01, 13,724.46 and 8,402.43

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Solution

The fourth proportional to 9,146.01, 13,724.46 and 8,402.43 is: 12,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.01 : 13,724.46 = 8,402.43 : x
  2. Step 2: Convert to fraction form
    9,146.01/13,724.46 = 8,402.43/x
  3. Step 3: Cross multiply
    9,146.01x = 13,724.46 × 8,402.43
  4. Step 4: Simplify right side
    9,146.01x = 115,318,814.44
  5. Step 5: Solve for x
    x = 115,318,814.44/9,146.01
  6. Step 6: Final answer
    x = 12,608.65

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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.