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Finding the Fourth Proportional to 13,782.60, 18,991.80 and 11,401.20

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Solution

The fourth proportional to 13,782.60, 18,991.80 and 11,401.20 is: 15,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.60 : 18,991.80 = 11,401.20 : x
  2. Step 2: Convert to fraction form
    13,782.60/18,991.80 = 11,401.20/x
  3. Step 3: Cross multiply
    13,782.60x = 18,991.80 × 11,401.20
  4. Step 4: Simplify right side
    13,782.60x = 216,529,310.16
  5. Step 5: Solve for x
    x = 216,529,310.16/13,782.60
  6. Step 6: Final answer
    x = 15,710.34

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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.