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Finding the Fourth Proportional to 2,742.00, 4,112.54 and 986.65

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Solution

The fourth proportional to 2,742.00, 4,112.54 and 986.65 is: 1,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.00 : 4,112.54 = 986.65 : x
  2. Step 2: Convert to fraction form
    2,742.00/4,112.54 = 986.65/x
  3. Step 3: Cross multiply
    2,742.00x = 4,112.54 × 986.65
  4. Step 4: Simplify right side
    2,742.00x = 4,057,631.63
  5. Step 5: Solve for x
    x = 4,057,631.63/2,742.00
  6. Step 6: Final answer
    x = 1,479.81

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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.