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Finding the Fourth Proportional to 9,518.88, 13,123.84 and 6,156

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Solution

The fourth proportional to 9,518.88, 13,123.84 and 6,156 is: 8,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.88 : 13,123.84 = 6,156 : x
  2. Step 2: Convert to fraction form
    9,518.88/13,123.84 = 6,156/x
  3. Step 3: Cross multiply
    9,518.88x = 13,123.84 × 6,156
  4. Step 4: Simplify right side
    9,518.88x = 80,790,359.04
  5. Step 5: Solve for x
    x = 80,790,359.04/9,518.88
  6. Step 6: Final answer
    x = 8,487.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.