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Finding the Fourth Proportional to 11,679.74, 17,509.19 and 4,282.47

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Solution

The fourth proportional to 11,679.74, 17,509.19 and 4,282.47 is: 6,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.74 : 17,509.19 = 4,282.47 : x
  2. Step 2: Convert to fraction form
    11,679.74/17,509.19 = 4,282.47/x
  3. Step 3: Cross multiply
    11,679.74x = 17,509.19 × 4,282.47
  4. Step 4: Simplify right side
    11,679.74x = 74,982,624.67
  5. Step 5: Solve for x
    x = 74,982,624.67/11,679.74
  6. Step 6: Final answer
    x = 6,419.89

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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.