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Finding the Fourth Proportional to 14,909.94, 20,575.71 and 8,196

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Solution

The fourth proportional to 14,909.94, 20,575.71 and 8,196 is: 11,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.94 : 20,575.71 = 8,196 : x
  2. Step 2: Convert to fraction form
    14,909.94/20,575.71 = 8,196/x
  3. Step 3: Cross multiply
    14,909.94x = 20,575.71 × 8,196
  4. Step 4: Simplify right side
    14,909.94x = 168,638,519.16
  5. Step 5: Solve for x
    x = 168,638,519.16/14,909.94
  6. Step 6: Final answer
    x = 11,310.48

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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.