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Finding the Fourth Proportional to 14,144.65, 19,519.62 and 7,771.65

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Solution

The fourth proportional to 14,144.65, 19,519.62 and 7,771.65 is: 10,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.65 : 19,519.62 = 7,771.65 : x
  2. Step 2: Convert to fraction form
    14,144.65/19,519.62 = 7,771.65/x
  3. Step 3: Cross multiply
    14,144.65x = 19,519.62 × 7,771.65
  4. Step 4: Simplify right side
    14,144.65x = 151,699,651.05
  5. Step 5: Solve for x
    x = 151,699,651.05/14,144.65
  6. Step 6: Final answer
    x = 10,724.88

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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.