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Finding the Fourth Proportional to 14,245, 21,370.80 and 5,011

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Solution

The fourth proportional to 14,245, 21,370.80 and 5,011 is: 7,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,245 : 21,370.80 = 5,011 : x
  2. Step 2: Convert to fraction form
    14,245/21,370.80 = 5,011/x
  3. Step 3: Cross multiply
    14,245x = 21,370.80 × 5,011
  4. Step 4: Simplify right side
    14,245x = 107,089,078.80
  5. Step 5: Solve for x
    x = 107,089,078.80/14,245
  6. Step 6: Final answer
    x = 7,517.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.