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Finding the Fourth Proportional to 36,971.69, 51,020.81 and 20,204.69

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Solution

The fourth proportional to 36,971.69, 51,020.81 and 20,204.69 is: 27,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,971.69 : 51,020.81 = 20,204.69 : x
  2. Step 2: Convert to fraction form
    36,971.69/51,020.81 = 20,204.69/x
  3. Step 3: Cross multiply
    36,971.69x = 51,020.81 × 20,204.69
  4. Step 4: Simplify right side
    36,971.69x = 1,030,859,445.01
  5. Step 5: Solve for x
    x = 1,030,859,445.01/36,971.69
  6. Step 6: Final answer
    x = 27,882.40

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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.