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Finding the Fourth Proportional to 13,580.73, 20,362.86 and 5,253.73

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Solution

The fourth proportional to 13,580.73, 20,362.86 and 5,253.73 is: 7,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.73 : 20,362.86 = 5,253.73 : x
  2. Step 2: Convert to fraction form
    13,580.73/20,362.86 = 5,253.73/x
  3. Step 3: Cross multiply
    13,580.73x = 20,362.86 × 5,253.73
  4. Step 4: Simplify right side
    13,580.73x = 106,980,917.56
  5. Step 5: Solve for x
    x = 106,980,917.56/13,580.73
  6. Step 6: Final answer
    x = 7,877.41

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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.