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Finding the Fourth Proportional to 11,690, 17,534.84 and 4,291.56

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Solution

The fourth proportional to 11,690, 17,534.84 and 4,291.56 is: 6,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690 : 17,534.84 = 4,291.56 : x
  2. Step 2: Convert to fraction form
    11,690/17,534.84 = 4,291.56/x
  3. Step 3: Cross multiply
    11,690x = 17,534.84 × 4,291.56
  4. Step 4: Simplify right side
    11,690x = 75,251,817.95
  5. Step 5: Solve for x
    x = 75,251,817.95/11,690
  6. Step 6: Final answer
    x = 6,437.28

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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.