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Finding the Fourth Proportional to 37,284, 51,451.92 and 20,518.08

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Solution

The fourth proportional to 37,284, 51,451.92 and 20,518.08 is: 28,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284 : 51,451.92 = 20,518.08 : x
  2. Step 2: Convert to fraction form
    37,284/51,451.92 = 20,518.08/x
  3. Step 3: Cross multiply
    37,284x = 51,451.92 × 20,518.08
  4. Step 4: Simplify right side
    37,284x = 1,055,694,610.71
  5. Step 5: Solve for x
    x = 1,055,694,610.71/37,284
  6. Step 6: Final answer
    x = 28,314.95

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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.