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Finding the Fourth Proportional to 14,044, 19,380.78 and 7,756.84

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Solution

The fourth proportional to 14,044, 19,380.78 and 7,756.84 is: 10,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044 : 19,380.78 = 7,756.84 : x
  2. Step 2: Convert to fraction form
    14,044/19,380.78 = 7,756.84/x
  3. Step 3: Cross multiply
    14,044x = 19,380.78 × 7,756.84
  4. Step 4: Simplify right side
    14,044x = 150,333,609.54
  5. Step 5: Solve for x
    x = 150,333,609.54/14,044
  6. Step 6: Final answer
    x = 10,704.47

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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.