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Finding the Fourth Proportional to 6,311.40, 8,709.52 and 3,658.65

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Solution

The fourth proportional to 6,311.40, 8,709.52 and 3,658.65 is: 5,048.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.40 : 8,709.52 = 3,658.65 : x
  2. Step 2: Convert to fraction form
    6,311.40/8,709.52 = 3,658.65/x
  3. Step 3: Cross multiply
    6,311.40x = 8,709.52 × 3,658.65
  4. Step 4: Simplify right side
    6,311.40x = 31,865,085.35
  5. Step 5: Solve for x
    x = 31,865,085.35/6,311.40
  6. Step 6: Final answer
    x = 5,048.81

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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.