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Finding the Fourth Proportional to 13,211.80, 19,790.10 and 6,197.80

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Solution

The fourth proportional to 13,211.80, 19,790.10 and 6,197.80 is: 9,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.80 : 19,790.10 = 6,197.80 : x
  2. Step 2: Convert to fraction form
    13,211.80/19,790.10 = 6,197.80/x
  3. Step 3: Cross multiply
    13,211.80x = 19,790.10 × 6,197.80
  4. Step 4: Simplify right side
    13,211.80x = 122,655,081.78
  5. Step 5: Solve for x
    x = 122,655,081.78/13,211.80
  6. Step 6: Final answer
    x = 9,283.75

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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.