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Finding the Fourth Proportional to 7,706.43, 10,624.97 and 6,288.67

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Solution

The fourth proportional to 7,706.43, 10,624.97 and 6,288.67 is: 8,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.43 : 10,624.97 = 6,288.67 : x
  2. Step 2: Convert to fraction form
    7,706.43/10,624.97 = 6,288.67/x
  3. Step 3: Cross multiply
    7,706.43x = 10,624.97 × 6,288.67
  4. Step 4: Simplify right side
    7,706.43x = 66,816,898.65
  5. Step 5: Solve for x
    x = 66,816,898.65/7,706.43
  6. Step 6: Final answer
    x = 8,670.28

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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.