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Finding the Fourth Proportional to 11,881.69, 17,822.16 and 5,646.19

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Solution

The fourth proportional to 11,881.69, 17,822.16 and 5,646.19 is: 8,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.69 : 17,822.16 = 5,646.19 : x
  2. Step 2: Convert to fraction form
    11,881.69/17,822.16 = 5,646.19/x
  3. Step 3: Cross multiply
    11,881.69x = 17,822.16 × 5,646.19
  4. Step 4: Simplify right side
    11,881.69x = 100,627,212.46
  5. Step 5: Solve for x
    x = 100,627,212.46/11,881.69
  6. Step 6: Final answer
    x = 8,469.10

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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.