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Finding the Fourth Proportional to 13,570.50, 20,351.42 and 5,673

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Solution

The fourth proportional to 13,570.50, 20,351.42 and 5,673 is: 8,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.50 : 20,351.42 = 5,673 : x
  2. Step 2: Convert to fraction form
    13,570.50/20,351.42 = 5,673/x
  3. Step 3: Cross multiply
    13,570.50x = 20,351.42 × 5,673
  4. Step 4: Simplify right side
    13,570.50x = 115,453,605.66
  5. Step 5: Solve for x
    x = 115,453,605.66/13,570.50
  6. Step 6: Final answer
    x = 8,507.69

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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.