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Finding the Fourth Proportional to 7,984.85, 12,004.31 and 6,435.73

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Solution

The fourth proportional to 7,984.85, 12,004.31 and 6,435.73 is: 9,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.85 : 12,004.31 = 6,435.73 : x
  2. Step 2: Convert to fraction form
    7,984.85/12,004.31 = 6,435.73/x
  3. Step 3: Cross multiply
    7,984.85x = 12,004.31 × 6,435.73
  4. Step 4: Simplify right side
    7,984.85x = 77,256,498.00
  5. Step 5: Solve for x
    x = 77,256,498.00/7,984.85
  6. Step 6: Final answer
    x = 9,675.39

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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.