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Finding the Fourth Proportional to 14,129, 21,197.28 and 4,895

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Solution

The fourth proportional to 14,129, 21,197.28 and 4,895 is: 7,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129 : 21,197.28 = 4,895 : x
  2. Step 2: Convert to fraction form
    14,129/21,197.28 = 4,895/x
  3. Step 3: Cross multiply
    14,129x = 21,197.28 × 4,895
  4. Step 4: Simplify right side
    14,129x = 103,760,685.60
  5. Step 5: Solve for x
    x = 103,760,685.60/14,129
  6. Step 6: Final answer
    x = 7,343.81

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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.