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Finding the Fourth Proportional to 8,315.75, 11,475.75 and 4,589.75

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Solution

The fourth proportional to 8,315.75, 11,475.75 and 4,589.75 is: 6,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.75 : 11,475.75 = 4,589.75 : x
  2. Step 2: Convert to fraction form
    8,315.75/11,475.75 = 4,589.75/x
  3. Step 3: Cross multiply
    8,315.75x = 11,475.75 × 4,589.75
  4. Step 4: Simplify right side
    8,315.75x = 52,670,823.56
  5. Step 5: Solve for x
    x = 52,670,823.56/8,315.75
  6. Step 6: Final answer
    x = 6,333.86

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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.