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Finding the Fourth Proportional to 13,757.99, 18,986.54 and 8,454.51

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Solution

The fourth proportional to 13,757.99, 18,986.54 and 8,454.51 is: 11,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.99 : 18,986.54 = 8,454.51 : x
  2. Step 2: Convert to fraction form
    13,757.99/18,986.54 = 8,454.51/x
  3. Step 3: Cross multiply
    13,757.99x = 18,986.54 × 8,454.51
  4. Step 4: Simplify right side
    13,757.99x = 160,521,850.02
  5. Step 5: Solve for x
    x = 160,521,850.02/13,757.99
  6. Step 6: Final answer
    x = 11,667.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.