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Finding the Fourth Proportional to 3,109.64, 4,665.10 and 918.16

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Solution

The fourth proportional to 3,109.64, 4,665.10 and 918.16 is: 1,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 4,665.10 = 918.16 : x
  2. Step 2: Convert to fraction form
    3,109.64/4,665.10 = 918.16/x
  3. Step 3: Cross multiply
    3,109.64x = 4,665.10 × 918.16
  4. Step 4: Simplify right side
    3,109.64x = 4,283,308.22
  5. Step 5: Solve for x
    x = 4,283,308.22/3,109.64
  6. Step 6: Final answer
    x = 1,377.43

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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.