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Finding the Fourth Proportional to 14,614, 20,167.78 and 8,326.78

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Solution

The fourth proportional to 14,614, 20,167.78 and 8,326.78 is: 11,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614 : 20,167.78 = 8,326.78 : x
  2. Step 2: Convert to fraction form
    14,614/20,167.78 = 8,326.78/x
  3. Step 3: Cross multiply
    14,614x = 20,167.78 × 8,326.78
  4. Step 4: Simplify right side
    14,614x = 167,932,667.15
  5. Step 5: Solve for x
    x = 167,932,667.15/14,614
  6. Step 6: Final answer
    x = 11,491.22

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1.5x scale

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.