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Finding the Fourth Proportional to 13,477.72, 20,218.73 and 5,687.68

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Solution

The fourth proportional to 13,477.72, 20,218.73 and 5,687.68 is: 8,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.72 : 20,218.73 = 5,687.68 : x
  2. Step 2: Convert to fraction form
    13,477.72/20,218.73 = 5,687.68/x
  3. Step 3: Cross multiply
    13,477.72x = 20,218.73 × 5,687.68
  4. Step 4: Simplify right side
    13,477.72x = 114,997,666.25
  5. Step 5: Solve for x
    x = 114,997,666.25/13,477.72
  6. Step 6: Final answer
    x = 8,532.43

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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.