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Finding the Fourth Proportional to 13,205.00, 19,813.83 and 8,206.01

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Solution

The fourth proportional to 13,205.00, 19,813.83 and 8,206.01 is: 12,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.00 : 19,813.83 = 8,206.01 : x
  2. Step 2: Convert to fraction form
    13,205.00/19,813.83 = 8,206.01/x
  3. Step 3: Cross multiply
    13,205.00x = 19,813.83 × 8,206.01
  4. Step 4: Simplify right side
    13,205.00x = 162,592,388.05
  5. Step 5: Solve for x
    x = 162,592,388.05/13,205.00
  6. Step 6: Final answer
    x = 12,312.95

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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.