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Finding the Fourth Proportional to 16,915, 25,384.04 and 5,971

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Solution

The fourth proportional to 16,915, 25,384.04 and 5,971 is: 8,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915 : 25,384.04 = 5,971 : x
  2. Step 2: Convert to fraction form
    16,915/25,384.04 = 5,971/x
  3. Step 3: Cross multiply
    16,915x = 25,384.04 × 5,971
  4. Step 4: Simplify right side
    16,915x = 151,568,102.84
  5. Step 5: Solve for x
    x = 151,568,102.84/16,915
  6. Step 6: Final answer
    x = 8,960.57

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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.