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Finding the Fourth Proportional to 14,668, 21,982.56 and 12,218.56

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Solution

The fourth proportional to 14,668, 21,982.56 and 12,218.56 is: 18,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668 : 21,982.56 = 12,218.56 : x
  2. Step 2: Convert to fraction form
    14,668/21,982.56 = 12,218.56/x
  3. Step 3: Cross multiply
    14,668x = 21,982.56 × 12,218.56
  4. Step 4: Simplify right side
    14,668x = 268,595,228.31
  5. Step 5: Solve for x
    x = 268,595,228.31/14,668
  6. Step 6: Final answer
    x = 18,311.65

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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.