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Finding the Fourth Proportional to 38,493, 53,120.50 and 20,829

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Solution

The fourth proportional to 38,493, 53,120.50 and 20,829 is: 28,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493 : 53,120.50 = 20,829 : x
  2. Step 2: Convert to fraction form
    38,493/53,120.50 = 20,829/x
  3. Step 3: Cross multiply
    38,493x = 53,120.50 × 20,829
  4. Step 4: Simplify right side
    38,493x = 1,106,446,894.50
  5. Step 5: Solve for x
    x = 1,106,446,894.50/38,493
  6. Step 6: Final answer
    x = 28,744.11

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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.