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Finding the Fourth Proportional to 37,643.52, 51,947.20 and 20,876.80

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Solution

The fourth proportional to 37,643.52, 51,947.20 and 20,876.80 is: 28,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.52 : 51,947.20 = 20,876.80 : x
  2. Step 2: Convert to fraction form
    37,643.52/51,947.20 = 20,876.80/x
  3. Step 3: Cross multiply
    37,643.52x = 51,947.20 × 20,876.80
  4. Step 4: Simplify right side
    37,643.52x = 1,084,491,304.96
  5. Step 5: Solve for x
    x = 1,084,491,304.96/37,643.52
  6. Step 6: Final answer
    x = 28,809.51

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1.5x scale

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.