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Finding the Fourth Proportional to 13,862.80, 20,794.20 and 9,189.10

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Solution

The fourth proportional to 13,862.80, 20,794.20 and 9,189.10 is: 13,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.80 : 20,794.20 = 9,189.10 : x
  2. Step 2: Convert to fraction form
    13,862.80/20,794.20 = 9,189.10/x
  3. Step 3: Cross multiply
    13,862.80x = 20,794.20 × 9,189.10
  4. Step 4: Simplify right side
    13,862.80x = 191,079,983.22
  5. Step 5: Solve for x
    x = 191,079,983.22/13,862.80
  6. Step 6: Final answer
    x = 13,783.65

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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.