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Finding the Fourth Proportional to 13,205.80, 19,763.90 and 8,015.40

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Solution

The fourth proportional to 13,205.80, 19,763.90 and 8,015.40 is: 11,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.80 : 19,763.90 = 8,015.40 : x
  2. Step 2: Convert to fraction form
    13,205.80/19,763.90 = 8,015.40/x
  3. Step 3: Cross multiply
    13,205.80x = 19,763.90 × 8,015.40
  4. Step 4: Simplify right side
    13,205.80x = 158,415,564.06
  5. Step 5: Solve for x
    x = 158,415,564.06/13,205.80
  6. Step 6: Final answer
    x = 11,995.91

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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.