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Finding the Fourth Proportional to 13,825.80, 20,738.70 and 12,328.20

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Solution

The fourth proportional to 13,825.80, 20,738.70 and 12,328.20 is: 18,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.80 : 20,738.70 = 12,328.20 : x
  2. Step 2: Convert to fraction form
    13,825.80/20,738.70 = 12,328.20/x
  3. Step 3: Cross multiply
    13,825.80x = 20,738.70 × 12,328.20
  4. Step 4: Simplify right side
    13,825.80x = 255,670,841.34
  5. Step 5: Solve for x
    x = 255,670,841.34/13,825.80
  6. Step 6: Final answer
    x = 18,492.30

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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.