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Finding the Fourth Proportional to 14,124, 19,422 and 12,257.76

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Solution

The fourth proportional to 14,124, 19,422 and 12,257.76 is: 16,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124 : 19,422 = 12,257.76 : x
  2. Step 2: Convert to fraction form
    14,124/19,422 = 12,257.76/x
  3. Step 3: Cross multiply
    14,124x = 19,422 × 12,257.76
  4. Step 4: Simplify right side
    14,124x = 238,070,214.72
  5. Step 5: Solve for x
    x = 238,070,214.72/14,124
  6. Step 6: Final answer
    x = 16,855.72

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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.