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Finding the Fourth Proportional to 14,078.72, 21,076 and 8,515.23

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Solution

The fourth proportional to 14,078.72, 21,076 and 8,515.23 is: 12,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.72 : 21,076 = 8,515.23 : x
  2. Step 2: Convert to fraction form
    14,078.72/21,076 = 8,515.23/x
  3. Step 3: Cross multiply
    14,078.72x = 21,076 × 8,515.23
  4. Step 4: Simplify right side
    14,078.72x = 179,466,987.48
  5. Step 5: Solve for x
    x = 179,466,987.48/14,078.72
  6. Step 6: Final answer
    x = 12,747.39

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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.