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Finding the Fourth Proportional to 13,804.80, 20,686.72 and 10,138.88

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Solution

The fourth proportional to 13,804.80, 20,686.72 and 10,138.88 is: 15,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.80 : 20,686.72 = 10,138.88 : x
  2. Step 2: Convert to fraction form
    13,804.80/20,686.72 = 10,138.88/x
  3. Step 3: Cross multiply
    13,804.80x = 20,686.72 × 10,138.88
  4. Step 4: Simplify right side
    13,804.80x = 209,740,171.67
  5. Step 5: Solve for x
    x = 209,740,171.67/13,804.80
  6. Step 6: Final answer
    x = 15,193.28

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1.5x scale

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.