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Finding the Fourth Proportional to 3,109.14, 4,664.34 and 917.82

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Solution

The fourth proportional to 3,109.14, 4,664.34 and 917.82 is: 1,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.14 : 4,664.34 = 917.82 : x
  2. Step 2: Convert to fraction form
    3,109.14/4,664.34 = 917.82/x
  3. Step 3: Cross multiply
    3,109.14x = 4,664.34 × 917.82
  4. Step 4: Simplify right side
    3,109.14x = 4,281,024.54
  5. Step 5: Solve for x
    x = 4,281,024.54/3,109.14
  6. Step 6: Final answer
    x = 1,376.92

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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.