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Finding the Fourth Proportional to 14,596, 20,142.48 and 7,972

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Solution

The fourth proportional to 14,596, 20,142.48 and 7,972 is: 11,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596 : 20,142.48 = 7,972 : x
  2. Step 2: Convert to fraction form
    14,596/20,142.48 = 7,972/x
  3. Step 3: Cross multiply
    14,596x = 20,142.48 × 7,972
  4. Step 4: Simplify right side
    14,596x = 160,575,850.56
  5. Step 5: Solve for x
    x = 160,575,850.56/14,596
  6. Step 6: Final answer
    x = 11,001.36

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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.