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Finding the Fourth Proportional to 28,199.58, 42,297.24 and 8,209.24

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Solution

The fourth proportional to 28,199.58, 42,297.24 and 8,209.24 is: 12,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,199.58 : 42,297.24 = 8,209.24 : x
  2. Step 2: Convert to fraction form
    28,199.58/42,297.24 = 8,209.24/x
  3. Step 3: Cross multiply
    28,199.58x = 42,297.24 × 8,209.24
  4. Step 4: Simplify right side
    28,199.58x = 347,227,983.01
  5. Step 5: Solve for x
    x = 347,227,983.01/28,199.58
  6. Step 6: Final answer
    x = 12,313.23

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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.