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Finding the Fourth Proportional to 14,144.79, 19,519.82 and 7,771.79

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Solution

The fourth proportional to 14,144.79, 19,519.82 and 7,771.79 is: 10,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.79 : 19,519.82 = 7,771.79 : x
  2. Step 2: Convert to fraction form
    14,144.79/19,519.82 = 7,771.79/x
  3. Step 3: Cross multiply
    14,144.79x = 19,519.82 × 7,771.79
  4. Step 4: Simplify right side
    14,144.79x = 151,703,941.88
  5. Step 5: Solve for x
    x = 151,703,941.88/14,144.79
  6. Step 6: Final answer
    x = 10,725.08

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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.