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Finding the Fourth Proportional to 37,665.60, 51,981.60 and 20,904

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Solution

The fourth proportional to 37,665.60, 51,981.60 and 20,904 is: 28,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,665.60 : 51,981.60 = 20,904 : x
  2. Step 2: Convert to fraction form
    37,665.60/51,981.60 = 20,904/x
  3. Step 3: Cross multiply
    37,665.60x = 51,981.60 × 20,904
  4. Step 4: Simplify right side
    37,665.60x = 1,086,623,366.40
  5. Step 5: Solve for x
    x = 1,086,623,366.40/37,665.60
  6. Step 6: Final answer
    x = 28,849.22

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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.