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Finding the Fourth Proportional to 7,838.93, 10,806.72 and 6,639.12

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Solution

The fourth proportional to 7,838.93, 10,806.72 and 6,639.12 is: 9,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.93 : 10,806.72 = 6,639.12 : x
  2. Step 2: Convert to fraction form
    7,838.93/10,806.72 = 6,639.12/x
  3. Step 3: Cross multiply
    7,838.93x = 10,806.72 × 6,639.12
  4. Step 4: Simplify right side
    7,838.93x = 71,747,110.89
  5. Step 5: Solve for x
    x = 71,747,110.89/7,838.93
  6. Step 6: Final answer
    x = 9,152.67

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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.