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Finding the Fourth Proportional to 2,005.85, 3,009.64 and 1,032.64

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Solution

The fourth proportional to 2,005.85, 3,009.64 and 1,032.64 is: 1,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.85 : 3,009.64 = 1,032.64 : x
  2. Step 2: Convert to fraction form
    2,005.85/3,009.64 = 1,032.64/x
  3. Step 3: Cross multiply
    2,005.85x = 3,009.64 × 1,032.64
  4. Step 4: Simplify right side
    2,005.85x = 3,107,874.65
  5. Step 5: Solve for x
    x = 3,107,874.65/2,005.85
  6. Step 6: Final answer
    x = 1,549.41

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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.