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Finding the Fourth Proportional to 6,156, 9,234 and 1,539

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Solution

The fourth proportional to 6,156, 9,234 and 1,539 is: 2,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156 : 9,234 = 1,539 : x
  2. Step 2: Convert to fraction form
    6,156/9,234 = 1,539/x
  3. Step 3: Cross multiply
    6,156x = 9,234 × 1,539
  4. Step 4: Simplify right side
    6,156x = 14,211,126
  5. Step 5: Solve for x
    x = 14,211,126/6,156
  6. Step 6: Final answer
    x = 2,308.50

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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.