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Finding the Fourth Proportional to 12,986.80, 19,473.72 and 4,220.80

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Solution

The fourth proportional to 12,986.80, 19,473.72 and 4,220.80 is: 6,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.80 : 19,473.72 = 4,220.80 : x
  2. Step 2: Convert to fraction form
    12,986.80/19,473.72 = 4,220.80/x
  3. Step 3: Cross multiply
    12,986.80x = 19,473.72 × 4,220.80
  4. Step 4: Simplify right side
    12,986.80x = 82,194,677.38
  5. Step 5: Solve for x
    x = 82,194,677.38/12,986.80
  6. Step 6: Final answer
    x = 6,329.09

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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.