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Finding the Fourth Proportional to 6,315.68, 8,715.12 and 3,662.96

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Solution

The fourth proportional to 6,315.68, 8,715.12 and 3,662.96 is: 5,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.68 : 8,715.12 = 3,662.96 : x
  2. Step 2: Convert to fraction form
    6,315.68/8,715.12 = 3,662.96/x
  3. Step 3: Cross multiply
    6,315.68x = 8,715.12 × 3,662.96
  4. Step 4: Simplify right side
    6,315.68x = 31,923,135.96
  5. Step 5: Solve for x
    x = 31,923,135.96/6,315.68
  6. Step 6: Final answer
    x = 5,054.58

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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.