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Finding the Fourth Proportional to 9,709, 13,399.50 and 5,983

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Solution

The fourth proportional to 9,709, 13,399.50 and 5,983 is: 8,257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709 : 13,399.50 = 5,983 : x
  2. Step 2: Convert to fraction form
    9,709/13,399.50 = 5,983/x
  3. Step 3: Cross multiply
    9,709x = 13,399.50 × 5,983
  4. Step 4: Simplify right side
    9,709x = 80,169,208.50
  5. Step 5: Solve for x
    x = 80,169,208.50/9,709
  6. Step 6: Final answer
    x = 8,257.21

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Why These Related Problems?

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