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Finding the Fourth Proportional to 6,851.27, 10,280.09 and 6,740.70

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Solution

The fourth proportional to 6,851.27, 10,280.09 and 6,740.70 is: 10,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.27 : 10,280.09 = 6,740.70 : x
  2. Step 2: Convert to fraction form
    6,851.27/10,280.09 = 6,740.70/x
  3. Step 3: Cross multiply
    6,851.27x = 10,280.09 × 6,740.70
  4. Step 4: Simplify right side
    6,851.27x = 69,294,968.96
  5. Step 5: Solve for x
    x = 69,294,968.96/6,851.27
  6. Step 6: Final answer
    x = 10,114.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.