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Finding the Fourth Proportional to 12,803.80, 19,205.70 and 11,882.20

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Solution

The fourth proportional to 12,803.80, 19,205.70 and 11,882.20 is: 17,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.80 : 19,205.70 = 11,882.20 : x
  2. Step 2: Convert to fraction form
    12,803.80/19,205.70 = 11,882.20/x
  3. Step 3: Cross multiply
    12,803.80x = 19,205.70 × 11,882.20
  4. Step 4: Simplify right side
    12,803.80x = 228,205,968.54
  5. Step 5: Solve for x
    x = 228,205,968.54/12,803.80
  6. Step 6: Final answer
    x = 17,823.30

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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.