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Finding the Fourth Proportional to 20,203.95, 27,884.00 and 12,245.16

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Solution

The fourth proportional to 20,203.95, 27,884.00 and 12,245.16 is: 16,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203.95 : 27,884.00 = 12,245.16 : x
  2. Step 2: Convert to fraction form
    20,203.95/27,884.00 = 12,245.16/x
  3. Step 3: Cross multiply
    20,203.95x = 27,884.00 × 12,245.16
  4. Step 4: Simplify right side
    20,203.95x = 341,444,130.70
  5. Step 5: Solve for x
    x = 341,444,130.70/20,203.95
  6. Step 6: Final answer
    x = 16,899.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.