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Finding the Fourth Proportional to 14,630, 20,189.40 and 8,006

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Solution

The fourth proportional to 14,630, 20,189.40 and 8,006 is: 11,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630 : 20,189.40 = 8,006 : x
  2. Step 2: Convert to fraction form
    14,630/20,189.40 = 8,006/x
  3. Step 3: Cross multiply
    14,630x = 20,189.40 × 8,006
  4. Step 4: Simplify right side
    14,630x = 161,636,336.40
  5. Step 5: Solve for x
    x = 161,636,336.40/14,630
  6. Step 6: Final answer
    x = 11,048.28

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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.