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Finding the Fourth Proportional to 15,906.69, 21,950.24 and 9,191.24

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Solution

The fourth proportional to 15,906.69, 21,950.24 and 9,191.24 is: 12,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.69 : 21,950.24 = 9,191.24 : x
  2. Step 2: Convert to fraction form
    15,906.69/21,950.24 = 9,191.24/x
  3. Step 3: Cross multiply
    15,906.69x = 21,950.24 × 9,191.24
  4. Step 4: Simplify right side
    15,906.69x = 201,749,814.15
  5. Step 5: Solve for x
    x = 201,749,814.15/15,906.69
  6. Step 6: Final answer
    x = 12,683.33

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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.