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Finding the Fourth Proportional to 6,171, 9,256.50 and 1,554

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Solution

The fourth proportional to 6,171, 9,256.50 and 1,554 is: 2,331

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171 : 9,256.50 = 1,554 : x
  2. Step 2: Convert to fraction form
    6,171/9,256.50 = 1,554/x
  3. Step 3: Cross multiply
    6,171x = 9,256.50 × 1,554
  4. Step 4: Simplify right side
    6,171x = 14,384,601
  5. Step 5: Solve for x
    x = 14,384,601/6,171
  6. Step 6: Final answer
    x = 2,331

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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.