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Finding the Fourth Proportional to 13,503, 20,263.50 and 5,189.88

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Solution

The fourth proportional to 13,503, 20,263.50 and 5,189.88 is: 7,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503 : 20,263.50 = 5,189.88 : x
  2. Step 2: Convert to fraction form
    13,503/20,263.50 = 5,189.88/x
  3. Step 3: Cross multiply
    13,503x = 20,263.50 × 5,189.88
  4. Step 4: Simplify right side
    13,503x = 105,165,133.38
  5. Step 5: Solve for x
    x = 105,165,133.38/13,503
  6. Step 6: Final answer
    x = 7,788.28

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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.