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Finding the Fourth Proportional to 38,541, 57,811.50 and 10,839

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Solution

The fourth proportional to 38,541, 57,811.50 and 10,839 is: 16,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541 : 57,811.50 = 10,839 : x
  2. Step 2: Convert to fraction form
    38,541/57,811.50 = 10,839/x
  3. Step 3: Cross multiply
    38,541x = 57,811.50 × 10,839
  4. Step 4: Simplify right side
    38,541x = 626,618,848.50
  5. Step 5: Solve for x
    x = 626,618,848.50/38,541
  6. Step 6: Final answer
    x = 16,258.50

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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.