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Finding the Fourth Proportional to 11,515.58, 17,269.70 and 4,940

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Solution

The fourth proportional to 11,515.58, 17,269.70 and 4,940 is: 7,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.58 : 17,269.70 = 4,940 : x
  2. Step 2: Convert to fraction form
    11,515.58/17,269.70 = 4,940/x
  3. Step 3: Cross multiply
    11,515.58x = 17,269.70 × 4,940
  4. Step 4: Simplify right side
    11,515.58x = 85,312,318
  5. Step 5: Solve for x
    x = 85,312,318/11,515.58
  6. Step 6: Final answer
    x = 7,408.43

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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.