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Finding the Fourth Proportional to 13,782.78, 20,674.12 and 11,014.87

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Solution

The fourth proportional to 13,782.78, 20,674.12 and 11,014.87 is: 16,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.78 : 20,674.12 = 11,014.87 : x
  2. Step 2: Convert to fraction form
    13,782.78/20,674.12 = 11,014.87/x
  3. Step 3: Cross multiply
    13,782.78x = 20,674.12 × 11,014.87
  4. Step 4: Simplify right side
    13,782.78x = 227,722,744.16
  5. Step 5: Solve for x
    x = 227,722,744.16/13,782.78
  6. Step 6: Final answer
    x = 16,522.27

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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.