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Finding the Fourth Proportional to 13,782.40, 20,654.40 and 10,244.80

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Solution

The fourth proportional to 13,782.40, 20,654.40 and 10,244.80 is: 15,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.40 : 20,654.40 = 10,244.80 : x
  2. Step 2: Convert to fraction form
    13,782.40/20,654.40 = 10,244.80/x
  3. Step 3: Cross multiply
    13,782.40x = 20,654.40 × 10,244.80
  4. Step 4: Simplify right side
    13,782.40x = 211,600,197.12
  5. Step 5: Solve for x
    x = 211,600,197.12/13,782.40
  6. Step 6: Final answer
    x = 15,352.93

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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.