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Finding the Fourth Proportional to 13,782.72, 19,014.30 and 8,193.72

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Solution

The fourth proportional to 13,782.72, 19,014.30 and 8,193.72 is: 11,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.72 : 19,014.30 = 8,193.72 : x
  2. Step 2: Convert to fraction form
    13,782.72/19,014.30 = 8,193.72/x
  3. Step 3: Cross multiply
    13,782.72x = 19,014.30 × 8,193.72
  4. Step 4: Simplify right side
    13,782.72x = 155,797,850.20
  5. Step 5: Solve for x
    x = 155,797,850.20/13,782.72
  6. Step 6: Final answer
    x = 11,303.85

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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.