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Finding the Fourth Proportional to 6,142.56, 9,213.84 and 4,689.96

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Solution

The fourth proportional to 6,142.56, 9,213.84 and 4,689.96 is: 7,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.56 : 9,213.84 = 4,689.96 : x
  2. Step 2: Convert to fraction form
    6,142.56/9,213.84 = 4,689.96/x
  3. Step 3: Cross multiply
    6,142.56x = 9,213.84 × 4,689.96
  4. Step 4: Simplify right side
    6,142.56x = 43,212,541.05
  5. Step 5: Solve for x
    x = 43,212,541.05/6,142.56
  6. Step 6: Final answer
    x = 7,034.94

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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.