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Finding the Fourth Proportional to 38,195, 52,709.46 and 21,428.36

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Solution

The fourth proportional to 38,195, 52,709.46 and 21,428.36 is: 29,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,195 : 52,709.46 = 21,428.36 : x
  2. Step 2: Convert to fraction form
    38,195/52,709.46 = 21,428.36/x
  3. Step 3: Cross multiply
    38,195x = 52,709.46 × 21,428.36
  4. Step 4: Simplify right side
    38,195x = 1,129,477,284.29
  5. Step 5: Solve for x
    x = 1,129,477,284.29/38,195
  6. Step 6: Final answer
    x = 29,571.34

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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.