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Finding the Fourth Proportional to 12,833.40, 17,713.98 and 8,119.20

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Solution

The fourth proportional to 12,833.40, 17,713.98 and 8,119.20 is: 11,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.40 : 17,713.98 = 8,119.20 : x
  2. Step 2: Convert to fraction form
    12,833.40/17,713.98 = 8,119.20/x
  3. Step 3: Cross multiply
    12,833.40x = 17,713.98 × 8,119.20
  4. Step 4: Simplify right side
    12,833.40x = 143,823,346.42
  5. Step 5: Solve for x
    x = 143,823,346.42/12,833.40
  6. Step 6: Final answer
    x = 11,206.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.