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Finding the Fourth Proportional to 9,511.98, 13,123.32 and 6,159.02

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Solution

The fourth proportional to 9,511.98, 13,123.32 and 6,159.02 is: 8,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.98 : 13,123.32 = 6,159.02 : x
  2. Step 2: Convert to fraction form
    9,511.98/13,123.32 = 6,159.02/x
  3. Step 3: Cross multiply
    9,511.98x = 13,123.32 × 6,159.02
  4. Step 4: Simplify right side
    9,511.98x = 80,826,790.35
  5. Step 5: Solve for x
    x = 80,826,790.35/9,511.98
  6. Step 6: Final answer
    x = 8,497.37

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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.