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Finding the Fourth Proportional to 3,109.80, 4,664.10 and 918.04

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Solution

The fourth proportional to 3,109.80, 4,664.10 and 918.04 is: 1,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.80 : 4,664.10 = 918.04 : x
  2. Step 2: Convert to fraction form
    3,109.80/4,664.10 = 918.04/x
  3. Step 3: Cross multiply
    3,109.80x = 4,664.10 × 918.04
  4. Step 4: Simplify right side
    3,109.80x = 4,281,830.36
  5. Step 5: Solve for x
    x = 4,281,830.36/3,109.80
  6. Step 6: Final answer
    x = 1,376.88

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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.