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Finding the Fourth Proportional to 10,922.50, 15,074.81 and 6,209.65

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Solution

The fourth proportional to 10,922.50, 15,074.81 and 6,209.65 is: 8,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.50 : 15,074.81 = 6,209.65 : x
  2. Step 2: Convert to fraction form
    10,922.50/15,074.81 = 6,209.65/x
  3. Step 3: Cross multiply
    10,922.50x = 15,074.81 × 6,209.65
  4. Step 4: Simplify right side
    10,922.50x = 93,609,293.92
  5. Step 5: Solve for x
    x = 93,609,293.92/10,922.50
  6. Step 6: Final answer
    x = 8,570.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.