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Finding the Fourth Proportional to 38,433, 57,649.50 and 10,731

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Solution

The fourth proportional to 38,433, 57,649.50 and 10,731 is: 16,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433 : 57,649.50 = 10,731 : x
  2. Step 2: Convert to fraction form
    38,433/57,649.50 = 10,731/x
  3. Step 3: Cross multiply
    38,433x = 57,649.50 × 10,731
  4. Step 4: Simplify right side
    38,433x = 618,636,784.50
  5. Step 5: Solve for x
    x = 618,636,784.50/38,433
  6. Step 6: Final answer
    x = 16,096.50

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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.