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Finding the Fourth Proportional to 13,661.84, 20,499.24 and 8,126.10

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Solution

The fourth proportional to 13,661.84, 20,499.24 and 8,126.10 is: 12,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.84 : 20,499.24 = 8,126.10 : x
  2. Step 2: Convert to fraction form
    13,661.84/20,499.24 = 8,126.10/x
  3. Step 3: Cross multiply
    13,661.84x = 20,499.24 × 8,126.10
  4. Step 4: Simplify right side
    13,661.84x = 166,578,874.16
  5. Step 5: Solve for x
    x = 166,578,874.16/13,661.84
  6. Step 6: Final answer
    x = 12,193.00

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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.