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Finding the Fourth Proportional to 12,078.50, 16,668.38 and 7,046.20

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Solution

The fourth proportional to 12,078.50, 16,668.38 and 7,046.20 is: 9,723.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.50 : 16,668.38 = 7,046.20 : x
  2. Step 2: Convert to fraction form
    12,078.50/16,668.38 = 7,046.20/x
  3. Step 3: Cross multiply
    12,078.50x = 16,668.38 × 7,046.20
  4. Step 4: Simplify right side
    12,078.50x = 117,448,739.16
  5. Step 5: Solve for x
    x = 117,448,739.16/12,078.50
  6. Step 6: Final answer
    x = 9,723.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.