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Finding the Fourth Proportional to 13,803.56, 20,698 and 10,114.80

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Solution

The fourth proportional to 13,803.56, 20,698 and 10,114.80 is: 15,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.56 : 20,698 = 10,114.80 : x
  2. Step 2: Convert to fraction form
    13,803.56/20,698 = 10,114.80/x
  3. Step 3: Cross multiply
    13,803.56x = 20,698 × 10,114.80
  4. Step 4: Simplify right side
    13,803.56x = 209,356,130.40
  5. Step 5: Solve for x
    x = 209,356,130.40/13,803.56
  6. Step 6: Final answer
    x = 15,166.82

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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.