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Finding the Fourth Proportional to 6,415.71, 8,846.70 and 4,173.43

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Solution

The fourth proportional to 6,415.71, 8,846.70 and 4,173.43 is: 5,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.71 : 8,846.70 = 4,173.43 : x
  2. Step 2: Convert to fraction form
    6,415.71/8,846.70 = 4,173.43/x
  3. Step 3: Cross multiply
    6,415.71x = 8,846.70 × 4,173.43
  4. Step 4: Simplify right side
    6,415.71x = 36,921,083.18
  5. Step 5: Solve for x
    x = 36,921,083.18/6,415.71
  6. Step 6: Final answer
    x = 5,754.79

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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.