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Finding the Fourth Proportional to 7,999.20, 12,009.60 and 6,357.60

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Solution

The fourth proportional to 7,999.20, 12,009.60 and 6,357.60 is: 9,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.20 : 12,009.60 = 6,357.60 : x
  2. Step 2: Convert to fraction form
    7,999.20/12,009.60 = 6,357.60/x
  3. Step 3: Cross multiply
    7,999.20x = 12,009.60 × 6,357.60
  4. Step 4: Simplify right side
    7,999.20x = 76,352,232.96
  5. Step 5: Solve for x
    x = 76,352,232.96/7,999.20
  6. Step 6: Final answer
    x = 9,544.98

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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.