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Finding the Fourth Proportional to 13,770.94, 20,748.30 and 12,456.22

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Solution

The fourth proportional to 13,770.94, 20,748.30 and 12,456.22 is: 18,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.94 : 20,748.30 = 12,456.22 : x
  2. Step 2: Convert to fraction form
    13,770.94/20,748.30 = 12,456.22/x
  3. Step 3: Cross multiply
    13,770.94x = 20,748.30 × 12,456.22
  4. Step 4: Simplify right side
    13,770.94x = 258,445,389.43
  5. Step 5: Solve for x
    x = 258,445,389.43/13,770.94
  6. Step 6: Final answer
    x = 18,767.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.