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Finding the Fourth Proportional to 14,745, 20,348.10 and 8,121

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Solution

The fourth proportional to 14,745, 20,348.10 and 8,121 is: 11,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745 : 20,348.10 = 8,121 : x
  2. Step 2: Convert to fraction form
    14,745/20,348.10 = 8,121/x
  3. Step 3: Cross multiply
    14,745x = 20,348.10 × 8,121
  4. Step 4: Simplify right side
    14,745x = 165,246,920.10
  5. Step 5: Solve for x
    x = 165,246,920.10/14,745
  6. Step 6: Final answer
    x = 11,206.98

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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.