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Finding the Fourth Proportional to 22,301.50, 30,775.14 and 13,354

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Solution

The fourth proportional to 22,301.50, 30,775.14 and 13,354 is: 18,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.50 : 30,775.14 = 13,354 : x
  2. Step 2: Convert to fraction form
    22,301.50/30,775.14 = 13,354/x
  3. Step 3: Cross multiply
    22,301.50x = 30,775.14 × 13,354
  4. Step 4: Simplify right side
    22,301.50x = 410,971,219.56
  5. Step 5: Solve for x
    x = 410,971,219.56/22,301.50
  6. Step 6: Final answer
    x = 18,427.96

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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.