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Finding the Fourth Proportional to 3,109.68, 4,664.94 and 918.36

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Solution

The fourth proportional to 3,109.68, 4,664.94 and 918.36 is: 1,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.68 : 4,664.94 = 918.36 : x
  2. Step 2: Convert to fraction form
    3,109.68/4,664.94 = 918.36/x
  3. Step 3: Cross multiply
    3,109.68x = 4,664.94 × 918.36
  4. Step 4: Simplify right side
    3,109.68x = 4,284,094.30
  5. Step 5: Solve for x
    x = 4,284,094.30/3,109.68
  6. Step 6: Final answer
    x = 1,377.66

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1.5x scale

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.