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Finding the Fourth Proportional to 6,811.84, 9,392.31 and 6,391.45

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Solution

The fourth proportional to 6,811.84, 9,392.31 and 6,391.45 is: 8,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.84 : 9,392.31 = 6,391.45 : x
  2. Step 2: Convert to fraction form
    6,811.84/9,392.31 = 6,391.45/x
  3. Step 3: Cross multiply
    6,811.84x = 9,392.31 × 6,391.45
  4. Step 4: Simplify right side
    6,811.84x = 60,030,479.75
  5. Step 5: Solve for x
    x = 60,030,479.75/6,811.84
  6. Step 6: Final answer
    x = 8,812.67

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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.