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Finding the Fourth Proportional to 15,697.26, 21,661.02 and 9,408.42

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Solution

The fourth proportional to 15,697.26, 21,661.02 and 9,408.42 is: 12,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.26 : 21,661.02 = 9,408.42 : x
  2. Step 2: Convert to fraction form
    15,697.26/21,661.02 = 9,408.42/x
  3. Step 3: Cross multiply
    15,697.26x = 21,661.02 × 9,408.42
  4. Step 4: Simplify right side
    15,697.26x = 203,795,973.79
  5. Step 5: Solve for x
    x = 203,795,973.79/15,697.26
  6. Step 6: Final answer
    x = 12,982.90

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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.