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Finding the Fourth Proportional to 7,984.65, 11,969.60 and 4,080.45

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Solution

The fourth proportional to 7,984.65, 11,969.60 and 4,080.45 is: 6,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.65 : 11,969.60 = 4,080.45 : x
  2. Step 2: Convert to fraction form
    7,984.65/11,969.60 = 4,080.45/x
  3. Step 3: Cross multiply
    7,984.65x = 11,969.60 × 4,080.45
  4. Step 4: Simplify right side
    7,984.65x = 48,841,333.92
  5. Step 5: Solve for x
    x = 48,841,333.92/7,984.65
  6. Step 6: Final answer
    x = 6,116.90

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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.