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Finding the Fourth Proportional to 35,625, 49,164.90 and 20,521.64

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Solution

The fourth proportional to 35,625, 49,164.90 and 20,521.64 is: 28,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,625 : 49,164.90 = 20,521.64 : x
  2. Step 2: Convert to fraction form
    35,625/49,164.90 = 20,521.64/x
  3. Step 3: Cross multiply
    35,625x = 49,164.90 × 20,521.64
  4. Step 4: Simplify right side
    35,625x = 1,008,944,378.44
  5. Step 5: Solve for x
    x = 1,008,944,378.44/35,625
  6. Step 6: Final answer
    x = 28,321.25

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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.