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Finding the Fourth Proportional to 12,808.10, 19,199.10 and 8,638.22

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Solution

The fourth proportional to 12,808.10, 19,199.10 and 8,638.22 is: 12,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.10 : 19,199.10 = 8,638.22 : x
  2. Step 2: Convert to fraction form
    12,808.10/19,199.10 = 8,638.22/x
  3. Step 3: Cross multiply
    12,808.10x = 19,199.10 × 8,638.22
  4. Step 4: Simplify right side
    12,808.10x = 165,846,049.60
  5. Step 5: Solve for x
    x = 165,846,049.60/12,808.10
  6. Step 6: Final answer
    x = 12,948.53

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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.