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Finding the Fourth Proportional to 37,657.50, 51,969.78 and 20,890.50

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Solution

The fourth proportional to 37,657.50, 51,969.78 and 20,890.50 is: 28,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,657.50 : 51,969.78 = 20,890.50 : x
  2. Step 2: Convert to fraction form
    37,657.50/51,969.78 = 20,890.50/x
  3. Step 3: Cross multiply
    37,657.50x = 51,969.78 × 20,890.50
  4. Step 4: Simplify right side
    37,657.50x = 1,085,674,689.09
  5. Step 5: Solve for x
    x = 1,085,674,689.09/37,657.50
  6. Step 6: Final answer
    x = 28,830.24

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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.