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Finding the Fourth Proportional to 15,704.64, 21,651 and 11,859.48

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Solution

The fourth proportional to 15,704.64, 21,651 and 11,859.48 is: 16,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.64 : 21,651 = 11,859.48 : x
  2. Step 2: Convert to fraction form
    15,704.64/21,651 = 11,859.48/x
  3. Step 3: Cross multiply
    15,704.64x = 21,651 × 11,859.48
  4. Step 4: Simplify right side
    15,704.64x = 256,769,601.48
  5. Step 5: Solve for x
    x = 256,769,601.48/15,704.64
  6. Step 6: Final answer
    x = 16,349.92

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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.