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Finding the Fourth Proportional to 13,810.50, 20,703 and 5,039.28

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Solution

The fourth proportional to 13,810.50, 20,703 and 5,039.28 is: 7,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 20,703 = 5,039.28 : x
  2. Step 2: Convert to fraction form
    13,810.50/20,703 = 5,039.28/x
  3. Step 3: Cross multiply
    13,810.50x = 20,703 × 5,039.28
  4. Step 4: Simplify right side
    13,810.50x = 104,328,213.84
  5. Step 5: Solve for x
    x = 104,328,213.84/13,810.50
  6. Step 6: Final answer
    x = 7,554.27

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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.