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Finding the Fourth Proportional to 16,821.09, 25,247.16 and 8,506.85

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Solution

The fourth proportional to 16,821.09, 25,247.16 and 8,506.85 is: 12,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.09 : 25,247.16 = 8,506.85 : x
  2. Step 2: Convert to fraction form
    16,821.09/25,247.16 = 8,506.85/x
  3. Step 3: Cross multiply
    16,821.09x = 25,247.16 × 8,506.85
  4. Step 4: Simplify right side
    16,821.09x = 214,773,676.81
  5. Step 5: Solve for x
    x = 214,773,676.81/16,821.09
  6. Step 6: Final answer
    x = 12,768.12

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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.