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Finding the Fourth Proportional to 13,275, 19,899.12 and 8,348.16

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Solution

The fourth proportional to 13,275, 19,899.12 and 8,348.16 is: 12,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 19,899.12 = 8,348.16 : x
  2. Step 2: Convert to fraction form
    13,275/19,899.12 = 8,348.16/x
  3. Step 3: Cross multiply
    13,275x = 19,899.12 × 8,348.16
  4. Step 4: Simplify right side
    13,275x = 166,121,037.62
  5. Step 5: Solve for x
    x = 166,121,037.62/13,275
  6. Step 6: Final answer
    x = 12,513.83

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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.