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Finding the Fourth Proportional to 13,806.80, 20,715.96 and 11,030.48

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Solution

The fourth proportional to 13,806.80, 20,715.96 and 11,030.48 is: 16,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.80 : 20,715.96 = 11,030.48 : x
  2. Step 2: Convert to fraction form
    13,806.80/20,715.96 = 11,030.48/x
  3. Step 3: Cross multiply
    13,806.80x = 20,715.96 × 11,030.48
  4. Step 4: Simplify right side
    13,806.80x = 228,506,982.46
  5. Step 5: Solve for x
    x = 228,506,982.46/13,806.80
  6. Step 6: Final answer
    x = 16,550.32

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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.