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Finding the Fourth Proportional to 20,050.86, 30,076.16 and 15,672

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Solution

The fourth proportional to 20,050.86, 30,076.16 and 15,672 is: 23,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050.86 : 30,076.16 = 15,672 : x
  2. Step 2: Convert to fraction form
    20,050.86/30,076.16 = 15,672/x
  3. Step 3: Cross multiply
    20,050.86x = 30,076.16 × 15,672
  4. Step 4: Simplify right side
    20,050.86x = 471,353,501.16
  5. Step 5: Solve for x
    x = 471,353,501.16/20,050.86
  6. Step 6: Final answer
    x = 23,507.89

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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.