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Finding the Fourth Proportional to 38,380.52, 57,570.78 and 21,953

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Solution

The fourth proportional to 38,380.52, 57,570.78 and 21,953 is: 32,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.52 : 57,570.78 = 21,953 : x
  2. Step 2: Convert to fraction form
    38,380.52/57,570.78 = 21,953/x
  3. Step 3: Cross multiply
    38,380.52x = 57,570.78 × 21,953
  4. Step 4: Simplify right side
    38,380.52x = 1,263,851,333.34
  5. Step 5: Solve for x
    x = 1,263,851,333.34/38,380.52
  6. Step 6: Final answer
    x = 32,929.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.