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Finding the Fourth Proportional to 15,665.81, 23,504.85 and 6,894.56

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Solution

The fourth proportional to 15,665.81, 23,504.85 and 6,894.56 is: 10,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.81 : 23,504.85 = 6,894.56 : x
  2. Step 2: Convert to fraction form
    15,665.81/23,504.85 = 6,894.56/x
  3. Step 3: Cross multiply
    15,665.81x = 23,504.85 × 6,894.56
  4. Step 4: Simplify right side
    15,665.81x = 162,055,657.38
  5. Step 5: Solve for x
    x = 162,055,657.38/15,665.81
  6. Step 6: Final answer
    x = 10,344.55

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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.