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Finding the Fourth Proportional to 6,147.88, 8,474.16 and 4,157.71

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Solution

The fourth proportional to 6,147.88, 8,474.16 and 4,157.71 is: 5,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.88 : 8,474.16 = 4,157.71 : x
  2. Step 2: Convert to fraction form
    6,147.88/8,474.16 = 4,157.71/x
  3. Step 3: Cross multiply
    6,147.88x = 8,474.16 × 4,157.71
  4. Step 4: Simplify right side
    6,147.88x = 35,233,099.77
  5. Step 5: Solve for x
    x = 35,233,099.77/6,147.88
  6. Step 6: Final answer
    x = 5,730.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.