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Finding the Fourth Proportional to 6,170.86, 8,515.11 and 3,653.05

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Solution

The fourth proportional to 6,170.86, 8,515.11 and 3,653.05 is: 5,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.86 : 8,515.11 = 3,653.05 : x
  2. Step 2: Convert to fraction form
    6,170.86/8,515.11 = 3,653.05/x
  3. Step 3: Cross multiply
    6,170.86x = 8,515.11 × 3,653.05
  4. Step 4: Simplify right side
    6,170.86x = 31,106,122.59
  5. Step 5: Solve for x
    x = 31,106,122.59/6,170.86
  6. Step 6: Final answer
    x = 5,040.81

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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.