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Finding the Fourth Proportional to 14,436, 19,921.68 and 7,812

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Solution

The fourth proportional to 14,436, 19,921.68 and 7,812 is: 10,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436 : 19,921.68 = 7,812 : x
  2. Step 2: Convert to fraction form
    14,436/19,921.68 = 7,812/x
  3. Step 3: Cross multiply
    14,436x = 19,921.68 × 7,812
  4. Step 4: Simplify right side
    14,436x = 155,628,164.16
  5. Step 5: Solve for x
    x = 155,628,164.16/14,436
  6. Step 6: Final answer
    x = 10,780.56

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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.