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Finding the Fourth Proportional to 12,920.81, 17,832.09 and 8,205.10

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Solution

The fourth proportional to 12,920.81, 17,832.09 and 8,205.10 is: 11,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.81 : 17,832.09 = 8,205.10 : x
  2. Step 2: Convert to fraction form
    12,920.81/17,832.09 = 8,205.10/x
  3. Step 3: Cross multiply
    12,920.81x = 17,832.09 × 8,205.10
  4. Step 4: Simplify right side
    12,920.81x = 146,314,037.08
  5. Step 5: Solve for x
    x = 146,314,037.08/12,920.81
  6. Step 6: Final answer
    x = 11,323.90

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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.