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Finding the Fourth Proportional to 30,493.75, 45,693.42 and 21,151.93

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Solution

The fourth proportional to 30,493.75, 45,693.42 and 21,151.93 is: 31,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.75 : 45,693.42 = 21,151.93 : x
  2. Step 2: Convert to fraction form
    30,493.75/45,693.42 = 21,151.93/x
  3. Step 3: Cross multiply
    30,493.75x = 45,693.42 × 21,151.93
  4. Step 4: Simplify right side
    30,493.75x = 966,504,021.30
  5. Step 5: Solve for x
    x = 966,504,021.30/30,493.75
  6. Step 6: Final answer
    x = 31,695.15

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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.