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Finding the Fourth Proportional to 13,780.70, 18,994.23 and 10,549.40

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Solution

The fourth proportional to 13,780.70, 18,994.23 and 10,549.40 is: 14,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.70 : 18,994.23 = 10,549.40 : x
  2. Step 2: Convert to fraction form
    13,780.70/18,994.23 = 10,549.40/x
  3. Step 3: Cross multiply
    13,780.70x = 18,994.23 × 10,549.40
  4. Step 4: Simplify right side
    13,780.70x = 200,377,677.22
  5. Step 5: Solve for x
    x = 200,377,677.22/13,780.70
  6. Step 6: Final answer
    x = 14,540.46

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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.