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Finding the Fourth Proportional to 11,477.62, 17,217.95 and 4,905.31

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Solution

The fourth proportional to 11,477.62, 17,217.95 and 4,905.31 is: 7,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.62 : 17,217.95 = 4,905.31 : x
  2. Step 2: Convert to fraction form
    11,477.62/17,217.95 = 4,905.31/x
  3. Step 3: Cross multiply
    11,477.62x = 17,217.95 × 4,905.31
  4. Step 4: Simplify right side
    11,477.62x = 84,459,382.31
  5. Step 5: Solve for x
    x = 84,459,382.31/11,477.62
  6. Step 6: Final answer
    x = 7,358.61

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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.