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Finding the Fourth Proportional to 35,517, 49,015.02 and 20,414.52

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Solution

The fourth proportional to 35,517, 49,015.02 and 20,414.52 is: 28,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517 : 49,015.02 = 20,414.52 : x
  2. Step 2: Convert to fraction form
    35,517/49,015.02 = 20,414.52/x
  3. Step 3: Cross multiply
    35,517x = 49,015.02 × 20,414.52
  4. Step 4: Simplify right side
    35,517x = 1,000,618,106.09
  5. Step 5: Solve for x
    x = 1,000,618,106.09/35,517
  6. Step 6: Final answer
    x = 28,172.93

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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.