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Finding the Fourth Proportional to 14,048.43, 21,072.64 and 7,805.45

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Solution

The fourth proportional to 14,048.43, 21,072.64 and 7,805.45 is: 11,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.43 : 21,072.64 = 7,805.45 : x
  2. Step 2: Convert to fraction form
    14,048.43/21,072.64 = 7,805.45/x
  3. Step 3: Cross multiply
    14,048.43x = 21,072.64 × 7,805.45
  4. Step 4: Simplify right side
    14,048.43x = 164,481,437.89
  5. Step 5: Solve for x
    x = 164,481,437.89/14,048.43
  6. Step 6: Final answer
    x = 11,708.17

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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.