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Finding the Fourth Proportional to 15,085.89, 22,630.86 and 5,729.38

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Solution

The fourth proportional to 15,085.89, 22,630.86 and 5,729.38 is: 8,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,085.89 : 22,630.86 = 5,729.38 : x
  2. Step 2: Convert to fraction form
    15,085.89/22,630.86 = 5,729.38/x
  3. Step 3: Cross multiply
    15,085.89x = 22,630.86 × 5,729.38
  4. Step 4: Simplify right side
    15,085.89x = 129,660,740.09
  5. Step 5: Solve for x
    x = 129,660,740.09/15,085.89
  6. Step 6: Final answer
    x = 8,594.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.