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Finding the Fourth Proportional to 13,952.98, 19,255.89 and 7,983.28

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Solution

The fourth proportional to 13,952.98, 19,255.89 and 7,983.28 is: 11,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.98 : 19,255.89 = 7,983.28 : x
  2. Step 2: Convert to fraction form
    13,952.98/19,255.89 = 7,983.28/x
  3. Step 3: Cross multiply
    13,952.98x = 19,255.89 × 7,983.28
  4. Step 4: Simplify right side
    13,952.98x = 153,725,161.52
  5. Step 5: Solve for x
    x = 153,725,161.52/13,952.98
  6. Step 6: Final answer
    x = 11,017.37

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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.