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Finding the Fourth Proportional to 11,802.84, 17,691.30 and 4,005.78

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Solution

The fourth proportional to 11,802.84, 17,691.30 and 4,005.78 is: 6,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.84 : 17,691.30 = 4,005.78 : x
  2. Step 2: Convert to fraction form
    11,802.84/17,691.30 = 4,005.78/x
  3. Step 3: Cross multiply
    11,802.84x = 17,691.30 × 4,005.78
  4. Step 4: Simplify right side
    11,802.84x = 70,867,455.71
  5. Step 5: Solve for x
    x = 70,867,455.71/11,802.84
  6. Step 6: Final answer
    x = 6,004.27

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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.