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Finding the Fourth Proportional to 21,731.70, 32,609.70 and 9,249.60

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Solution

The fourth proportional to 21,731.70, 32,609.70 and 9,249.60 is: 13,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731.70 : 32,609.70 = 9,249.60 : x
  2. Step 2: Convert to fraction form
    21,731.70/32,609.70 = 9,249.60/x
  3. Step 3: Cross multiply
    21,731.70x = 32,609.70 × 9,249.60
  4. Step 4: Simplify right side
    21,731.70x = 301,626,681.12
  5. Step 5: Solve for x
    x = 301,626,681.12/21,731.70
  6. Step 6: Final answer
    x = 13,879.57

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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.