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Finding the Fourth Proportional to 7,099.80, 9,790.38 and 6,938.88

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Solution

The fourth proportional to 7,099.80, 9,790.38 and 6,938.88 is: 9,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.80 : 9,790.38 = 6,938.88 : x
  2. Step 2: Convert to fraction form
    7,099.80/9,790.38 = 6,938.88/x
  3. Step 3: Cross multiply
    7,099.80x = 9,790.38 × 6,938.88
  4. Step 4: Simplify right side
    7,099.80x = 67,934,271.97
  5. Step 5: Solve for x
    x = 67,934,271.97/7,099.80
  6. Step 6: Final answer
    x = 9,568.48

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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.