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Finding the Fourth Proportional to 33,690, 50,546.16 and 10,316.64

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Solution

The fourth proportional to 33,690, 50,546.16 and 10,316.64 is: 15,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690 : 50,546.16 = 10,316.64 : x
  2. Step 2: Convert to fraction form
    33,690/50,546.16 = 10,316.64/x
  3. Step 3: Cross multiply
    33,690x = 50,546.16 × 10,316.64
  4. Step 4: Simplify right side
    33,690x = 521,466,536.10
  5. Step 5: Solve for x
    x = 521,466,536.10/33,690
  6. Step 6: Final answer
    x = 15,478.38

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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.