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Finding the Fourth Proportional to 38,452, 53,067 and 21,688.24

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Solution

The fourth proportional to 38,452, 53,067 and 21,688.24 is: 29,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452 : 53,067 = 21,688.24 : x
  2. Step 2: Convert to fraction form
    38,452/53,067 = 21,688.24/x
  3. Step 3: Cross multiply
    38,452x = 53,067 × 21,688.24
  4. Step 4: Simplify right side
    38,452x = 1,150,929,832.08
  5. Step 5: Solve for x
    x = 1,150,929,832.08/38,452
  6. Step 6: Final answer
    x = 29,931.60

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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.