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Finding the Fourth Proportional to 37,577, 51,857.90 and 20,810

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Solution

The fourth proportional to 37,577, 51,857.90 and 20,810 is: 28,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,577 : 51,857.90 = 20,810 : x
  2. Step 2: Convert to fraction form
    37,577/51,857.90 = 20,810/x
  3. Step 3: Cross multiply
    37,577x = 51,857.90 × 20,810
  4. Step 4: Simplify right side
    37,577x = 1,079,162,899
  5. Step 5: Solve for x
    x = 1,079,162,899/37,577
  6. Step 6: Final answer
    x = 28,718.71

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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.