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Finding the Fourth Proportional to 20,299.37, 30,448.69 and 7,822.10

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Solution

The fourth proportional to 20,299.37, 30,448.69 and 7,822.10 is: 11,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.37 : 30,448.69 = 7,822.10 : x
  2. Step 2: Convert to fraction form
    20,299.37/30,448.69 = 7,822.10/x
  3. Step 3: Cross multiply
    20,299.37x = 30,448.69 × 7,822.10
  4. Step 4: Simplify right side
    20,299.37x = 238,172,698.05
  5. Step 5: Solve for x
    x = 238,172,698.05/20,299.37
  6. Step 6: Final answer
    x = 11,733.01

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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.