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Finding the Fourth Proportional to 13,953, 19,255.28 and 7,665.51

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Solution

The fourth proportional to 13,953, 19,255.28 and 7,665.51 is: 10,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953 : 19,255.28 = 7,665.51 : x
  2. Step 2: Convert to fraction form
    13,953/19,255.28 = 7,665.51/x
  3. Step 3: Cross multiply
    13,953x = 19,255.28 × 7,665.51
  4. Step 4: Simplify right side
    13,953x = 147,601,503.07
  5. Step 5: Solve for x
    x = 147,601,503.07/13,953
  6. Step 6: Final answer
    x = 10,578.48

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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.