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Finding the Fourth Proportional to 13,409.74, 18,505.41 and 8,103.58

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Solution

The fourth proportional to 13,409.74, 18,505.41 and 8,103.58 is: 11,182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.74 : 18,505.41 = 8,103.58 : x
  2. Step 2: Convert to fraction form
    13,409.74/18,505.41 = 8,103.58/x
  3. Step 3: Cross multiply
    13,409.74x = 18,505.41 × 8,103.58
  4. Step 4: Simplify right side
    13,409.74x = 149,960,070.37
  5. Step 5: Solve for x
    x = 149,960,070.37/13,409.74
  6. Step 6: Final answer
    x = 11,182.92

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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.