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Finding the Fourth Proportional to 13,523.58, 18,653.15 and 12,408.21

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Solution

The fourth proportional to 13,523.58, 18,653.15 and 12,408.21 is: 17,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.58 : 18,653.15 = 12,408.21 : x
  2. Step 2: Convert to fraction form
    13,523.58/18,653.15 = 12,408.21/x
  3. Step 3: Cross multiply
    13,523.58x = 18,653.15 × 12,408.21
  4. Step 4: Simplify right side
    13,523.58x = 231,452,233.38
  5. Step 5: Solve for x
    x = 231,452,233.38/13,523.58
  6. Step 6: Final answer
    x = 17,114.72

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Double scale
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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.