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Finding the Fourth Proportional to 38,200.50, 52,719.84 and 21,205.80

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Solution

The fourth proportional to 38,200.50, 52,719.84 and 21,205.80 is: 29,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.50 : 52,719.84 = 21,205.80 : x
  2. Step 2: Convert to fraction form
    38,200.50/52,719.84 = 21,205.80/x
  3. Step 3: Cross multiply
    38,200.50x = 52,719.84 × 21,205.80
  4. Step 4: Simplify right side
    38,200.50x = 1,117,966,383.07
  5. Step 5: Solve for x
    x = 1,117,966,383.07/38,200.50
  6. Step 6: Final answer
    x = 29,265.75

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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.