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Finding the Fourth Proportional to 37,642.50, 51,946.74 and 20,878.74

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Solution

The fourth proportional to 37,642.50, 51,946.74 and 20,878.74 is: 28,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.50 : 51,946.74 = 20,878.74 : x
  2. Step 2: Convert to fraction form
    37,642.50/51,946.74 = 20,878.74/x
  3. Step 3: Cross multiply
    37,642.50x = 51,946.74 × 20,878.74
  4. Step 4: Simplify right side
    37,642.50x = 1,084,582,478.31
  5. Step 5: Solve for x
    x = 1,084,582,478.31/37,642.50
  6. Step 6: Final answer
    x = 28,812.71

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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.