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Finding the Fourth Proportional to 14,393.88, 21,571.47 and 5,623.92

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Solution

The fourth proportional to 14,393.88, 21,571.47 and 5,623.92 is: 8,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.88 : 21,571.47 = 5,623.92 : x
  2. Step 2: Convert to fraction form
    14,393.88/21,571.47 = 5,623.92/x
  3. Step 3: Cross multiply
    14,393.88x = 21,571.47 × 5,623.92
  4. Step 4: Simplify right side
    14,393.88x = 121,316,221.56
  5. Step 5: Solve for x
    x = 121,316,221.56/14,393.88
  6. Step 6: Final answer
    x = 8,428.32

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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.