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Finding the Fourth Proportional to 7,768.83, 10,711.71 and 6,347.28

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Solution

The fourth proportional to 7,768.83, 10,711.71 and 6,347.28 is: 8,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.83 : 10,711.71 = 6,347.28 : x
  2. Step 2: Convert to fraction form
    7,768.83/10,711.71 = 6,347.28/x
  3. Step 3: Cross multiply
    7,768.83x = 10,711.71 × 6,347.28
  4. Step 4: Simplify right side
    7,768.83x = 67,990,222.65
  5. Step 5: Solve for x
    x = 67,990,222.65/7,768.83
  6. Step 6: Final answer
    x = 8,751.67

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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.