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Finding the Fourth Proportional to 13,198.64, 18,199.16 and 8,412.17

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Solution

The fourth proportional to 13,198.64, 18,199.16 and 8,412.17 is: 11,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.64 : 18,199.16 = 8,412.17 : x
  2. Step 2: Convert to fraction form
    13,198.64/18,199.16 = 8,412.17/x
  3. Step 3: Cross multiply
    13,198.64x = 18,199.16 × 8,412.17
  4. Step 4: Simplify right side
    13,198.64x = 153,094,294.72
  5. Step 5: Solve for x
    x = 153,094,294.72/13,198.64
  6. Step 6: Final answer
    x = 11,599.25

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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.