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Finding the Fourth Proportional to 14,449, 21,679.76 and 5,095.70

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Solution

The fourth proportional to 14,449, 21,679.76 and 5,095.70 is: 7,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449 : 21,679.76 = 5,095.70 : x
  2. Step 2: Convert to fraction form
    14,449/21,679.76 = 5,095.70/x
  3. Step 3: Cross multiply
    14,449x = 21,679.76 × 5,095.70
  4. Step 4: Simplify right side
    14,449x = 110,473,553.03
  5. Step 5: Solve for x
    x = 110,473,553.03/14,449
  6. Step 6: Final answer
    x = 7,645.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.