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Finding the Fourth Proportional to 13,573.67, 20,348.78 and 6,558.57

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Solution

The fourth proportional to 13,573.67, 20,348.78 and 6,558.57 is: 9,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.67 : 20,348.78 = 6,558.57 : x
  2. Step 2: Convert to fraction form
    13,573.67/20,348.78 = 6,558.57/x
  3. Step 3: Cross multiply
    13,573.67x = 20,348.78 × 6,558.57
  4. Step 4: Simplify right side
    13,573.67x = 133,458,865.25
  5. Step 5: Solve for x
    x = 133,458,865.25/13,573.67
  6. Step 6: Final answer
    x = 9,832.19

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1.5x scale

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.