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Finding the Fourth Proportional to 37,428.25, 51,651 and 20,661.25

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Solution

The fourth proportional to 37,428.25, 51,651 and 20,661.25 is: 28,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428.25 : 51,651 = 20,661.25 : x
  2. Step 2: Convert to fraction form
    37,428.25/51,651 = 20,661.25/x
  3. Step 3: Cross multiply
    37,428.25x = 51,651 × 20,661.25
  4. Step 4: Simplify right side
    37,428.25x = 1,067,174,223.75
  5. Step 5: Solve for x
    x = 1,067,174,223.75/37,428.25
  6. Step 6: Final answer
    x = 28,512.53

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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.