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Finding the Fourth Proportional to 15,322, 21,153 and 11,589.52

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Solution

The fourth proportional to 15,322, 21,153 and 11,589.52 is: 16,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322 : 21,153 = 11,589.52 : x
  2. Step 2: Convert to fraction form
    15,322/21,153 = 11,589.52/x
  3. Step 3: Cross multiply
    15,322x = 21,153 × 11,589.52
  4. Step 4: Simplify right side
    15,322x = 245,153,116.56
  5. Step 5: Solve for x
    x = 245,153,116.56/15,322
  6. Step 6: Final answer
    x = 16,000.07

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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.