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Finding the Fourth Proportional to 14,421, 19,901 and 7,797

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Solution

The fourth proportional to 14,421, 19,901 and 7,797 is: 10,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 19,901 = 7,797 : x
  2. Step 2: Convert to fraction form
    14,421/19,901 = 7,797/x
  3. Step 3: Cross multiply
    14,421x = 19,901 × 7,797
  4. Step 4: Simplify right side
    14,421x = 155,168,097
  5. Step 5: Solve for x
    x = 155,168,097/14,421
  6. Step 6: Final answer
    x = 10,759.87

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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.