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Finding the Fourth Proportional to 7,855.33, 10,829.82 and 6,731.41

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Solution

The fourth proportional to 7,855.33, 10,829.82 and 6,731.41 is: 9,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.33 : 10,829.82 = 6,731.41 : x
  2. Step 2: Convert to fraction form
    7,855.33/10,829.82 = 6,731.41/x
  3. Step 3: Cross multiply
    7,855.33x = 10,829.82 × 6,731.41
  4. Step 4: Simplify right side
    7,855.33x = 72,899,958.65
  5. Step 5: Solve for x
    x = 72,899,958.65/7,855.33
  6. Step 6: Final answer
    x = 9,280.32

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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.