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Finding the Fourth Proportional to 37,645, 51,949.50 and 20,649.64

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Solution

The fourth proportional to 37,645, 51,949.50 and 20,649.64 is: 28,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,645 : 51,949.50 = 20,649.64 : x
  2. Step 2: Convert to fraction form
    37,645/51,949.50 = 20,649.64/x
  3. Step 3: Cross multiply
    37,645x = 51,949.50 × 20,649.64
  4. Step 4: Simplify right side
    37,645x = 1,072,738,473.18
  5. Step 5: Solve for x
    x = 1,072,738,473.18/37,645
  6. Step 6: Final answer
    x = 28,496.17

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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.