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Finding the Fourth Proportional to 7,311.80, 10,980.90 and 6,404.60

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Solution

The fourth proportional to 7,311.80, 10,980.90 and 6,404.60 is: 9,618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.80 : 10,980.90 = 6,404.60 : x
  2. Step 2: Convert to fraction form
    7,311.80/10,980.90 = 6,404.60/x
  3. Step 3: Cross multiply
    7,311.80x = 10,980.90 × 6,404.60
  4. Step 4: Simplify right side
    7,311.80x = 70,328,272.14
  5. Step 5: Solve for x
    x = 70,328,272.14/7,311.80
  6. Step 6: Final answer
    x = 9,618.46

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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.