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Finding the Fourth Proportional to 28,544, 42,820.10 and 8,824.09

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Solution

The fourth proportional to 28,544, 42,820.10 and 8,824.09 is: 13,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,544 : 42,820.10 = 8,824.09 : x
  2. Step 2: Convert to fraction form
    28,544/42,820.10 = 8,824.09/x
  3. Step 3: Cross multiply
    28,544x = 42,820.10 × 8,824.09
  4. Step 4: Simplify right side
    28,544x = 377,848,416.21
  5. Step 5: Solve for x
    x = 377,848,416.21/28,544
  6. Step 6: Final answer
    x = 13,237.40

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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.