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Finding the Fourth Proportional to 20,482.33, 30,741.80 and 10,493.88

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Solution

The fourth proportional to 20,482.33, 30,741.80 and 10,493.88 is: 15,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.33 : 30,741.80 = 10,493.88 : x
  2. Step 2: Convert to fraction form
    20,482.33/30,741.80 = 10,493.88/x
  3. Step 3: Cross multiply
    20,482.33x = 30,741.80 × 10,493.88
  4. Step 4: Simplify right side
    20,482.33x = 322,600,554.01
  5. Step 5: Solve for x
    x = 322,600,554.01/20,482.33
  6. Step 6: Final answer
    x = 15,750.19

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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.