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Finding the Fourth Proportional to 18,989.35, 28,459.24 and 13,742.03

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Solution

The fourth proportional to 18,989.35, 28,459.24 and 13,742.03 is: 20,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,989.35 : 28,459.24 = 13,742.03 : x
  2. Step 2: Convert to fraction form
    18,989.35/28,459.24 = 13,742.03/x
  3. Step 3: Cross multiply
    18,989.35x = 28,459.24 × 13,742.03
  4. Step 4: Simplify right side
    18,989.35x = 391,087,729.86
  5. Step 5: Solve for x
    x = 391,087,729.86/18,989.35
  6. Step 6: Final answer
    x = 20,595.11

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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.