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Finding the Fourth Proportional to 14,814, 20,443.56 and 8,190

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Solution

The fourth proportional to 14,814, 20,443.56 and 8,190 is: 11,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814 : 20,443.56 = 8,190 : x
  2. Step 2: Convert to fraction form
    14,814/20,443.56 = 8,190/x
  3. Step 3: Cross multiply
    14,814x = 20,443.56 × 8,190
  4. Step 4: Simplify right side
    14,814x = 167,432,756.40
  5. Step 5: Solve for x
    x = 167,432,756.40/14,814
  6. Step 6: Final answer
    x = 11,302.33

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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.