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Finding the Fourth Proportional to 12,830.66, 19,218.97 and 6,571.65

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Solution

The fourth proportional to 12,830.66, 19,218.97 and 6,571.65 is: 9,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.66 : 19,218.97 = 6,571.65 : x
  2. Step 2: Convert to fraction form
    12,830.66/19,218.97 = 6,571.65/x
  3. Step 3: Cross multiply
    12,830.66x = 19,218.97 × 6,571.65
  4. Step 4: Simplify right side
    12,830.66x = 126,300,344.20
  5. Step 5: Solve for x
    x = 126,300,344.20/12,830.66
  6. Step 6: Final answer
    x = 9,843.64

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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.