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Finding the Fourth Proportional to 10,684.36, 16,004.78 and 8,717

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Solution

The fourth proportional to 10,684.36, 16,004.78 and 8,717 is: 13,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.36 : 16,004.78 = 8,717 : x
  2. Step 2: Convert to fraction form
    10,684.36/16,004.78 = 8,717/x
  3. Step 3: Cross multiply
    10,684.36x = 16,004.78 × 8,717
  4. Step 4: Simplify right side
    10,684.36x = 139,513,667.26
  5. Step 5: Solve for x
    x = 139,513,667.26/10,684.36
  6. Step 6: Final answer
    x = 13,057.75

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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.