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Finding the Fourth Proportional to 14,503.68, 21,784.32 and 12,422.88

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Solution

The fourth proportional to 14,503.68, 21,784.32 and 12,422.88 is: 18,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.68 : 21,784.32 = 12,422.88 : x
  2. Step 2: Convert to fraction form
    14,503.68/21,784.32 = 12,422.88/x
  3. Step 3: Cross multiply
    14,503.68x = 21,784.32 × 12,422.88
  4. Step 4: Simplify right side
    14,503.68x = 270,623,993.24
  5. Step 5: Solve for x
    x = 270,623,993.24/14,503.68
  6. Step 6: Final answer
    x = 18,658.99

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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.