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Finding the Fourth Proportional to 18,509.44, 27,744.72 and 6,815.20

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Solution

The fourth proportional to 18,509.44, 27,744.72 and 6,815.20 is: 10,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.44 : 27,744.72 = 6,815.20 : x
  2. Step 2: Convert to fraction form
    18,509.44/27,744.72 = 6,815.20/x
  3. Step 3: Cross multiply
    18,509.44x = 27,744.72 × 6,815.20
  4. Step 4: Simplify right side
    18,509.44x = 189,085,815.74
  5. Step 5: Solve for x
    x = 189,085,815.74/18,509.44
  6. Step 6: Final answer
    x = 10,215.64

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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.