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Finding the Fourth Proportional to 21,657.65, 32,489.78 and 5,863.19

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Solution

The fourth proportional to 21,657.65, 32,489.78 and 5,863.19 is: 8,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.65 : 32,489.78 = 5,863.19 : x
  2. Step 2: Convert to fraction form
    21,657.65/32,489.78 = 5,863.19/x
  3. Step 3: Cross multiply
    21,657.65x = 32,489.78 × 5,863.19
  4. Step 4: Simplify right side
    21,657.65x = 190,493,561.43
  5. Step 5: Solve for x
    x = 190,493,561.43/21,657.65
  6. Step 6: Final answer
    x = 8,795.67

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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.