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Finding the Fourth Proportional to 6,865.98, 9,474.87 and 3,722.10

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Solution

The fourth proportional to 6,865.98, 9,474.87 and 3,722.10 is: 5,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.98 : 9,474.87 = 3,722.10 : x
  2. Step 2: Convert to fraction form
    6,865.98/9,474.87 = 3,722.10/x
  3. Step 3: Cross multiply
    6,865.98x = 9,474.87 × 3,722.10
  4. Step 4: Simplify right side
    6,865.98x = 35,266,413.63
  5. Step 5: Solve for x
    x = 35,266,413.63/6,865.98
  6. Step 6: Final answer
    x = 5,136.40

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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.