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Finding the Fourth Proportional to 13,647.54, 20,473.95 and 5,327.22

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Solution

The fourth proportional to 13,647.54, 20,473.95 and 5,327.22 is: 7,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.54 : 20,473.95 = 5,327.22 : x
  2. Step 2: Convert to fraction form
    13,647.54/20,473.95 = 5,327.22/x
  3. Step 3: Cross multiply
    13,647.54x = 20,473.95 × 5,327.22
  4. Step 4: Simplify right side
    13,647.54x = 109,069,235.92
  5. Step 5: Solve for x
    x = 109,069,235.92/13,647.54
  6. Step 6: Final answer
    x = 7,991.86

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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.