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Finding the Fourth Proportional to 38,709.52, 53,419.10 and 21,942.52

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Solution

The fourth proportional to 38,709.52, 53,419.10 and 21,942.52 is: 30,280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.52 : 53,419.10 = 21,942.52 : x
  2. Step 2: Convert to fraction form
    38,709.52/53,419.10 = 21,942.52/x
  3. Step 3: Cross multiply
    38,709.52x = 53,419.10 × 21,942.52
  4. Step 4: Simplify right side
    38,709.52x = 1,172,149,670.13
  5. Step 5: Solve for x
    x = 1,172,149,670.13/38,709.52
  6. Step 6: Final answer
    x = 30,280.66

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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.