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Finding the Fourth Proportional to 12,308.80, 18,474.72 and 6,469.60

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Solution

The fourth proportional to 12,308.80, 18,474.72 and 6,469.60 is: 9,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.80 : 18,474.72 = 6,469.60 : x
  2. Step 2: Convert to fraction form
    12,308.80/18,474.72 = 6,469.60/x
  3. Step 3: Cross multiply
    12,308.80x = 18,474.72 × 6,469.60
  4. Step 4: Simplify right side
    12,308.80x = 119,524,048.51
  5. Step 5: Solve for x
    x = 119,524,048.51/12,308.80
  6. Step 6: Final answer
    x = 9,710.46

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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.