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Finding the Fourth Proportional to 37,451, 51,682.38 and 20,685.08

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Solution

The fourth proportional to 37,451, 51,682.38 and 20,685.08 is: 28,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,451 : 51,682.38 = 20,685.08 : x
  2. Step 2: Convert to fraction form
    37,451/51,682.38 = 20,685.08/x
  3. Step 3: Cross multiply
    37,451x = 51,682.38 × 20,685.08
  4. Step 4: Simplify right side
    37,451x = 1,069,054,164.89
  5. Step 5: Solve for x
    x = 1,069,054,164.89/37,451
  6. Step 6: Final answer
    x = 28,545.41

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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.