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Finding the Fourth Proportional to 38,214, 52,735.68 and 21,447.36

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Solution

The fourth proportional to 38,214, 52,735.68 and 21,447.36 is: 29,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,214 : 52,735.68 = 21,447.36 : x
  2. Step 2: Convert to fraction form
    38,214/52,735.68 = 21,447.36/x
  3. Step 3: Cross multiply
    38,214x = 52,735.68 × 21,447.36
  4. Step 4: Simplify right side
    38,214x = 1,131,041,113.80
  5. Step 5: Solve for x
    x = 1,131,041,113.80/38,214
  6. Step 6: Final answer
    x = 29,597.56

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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.