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Finding the Fourth Proportional to 2,007.06, 3,015.45 and 1,278.06

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Solution

The fourth proportional to 2,007.06, 3,015.45 and 1,278.06 is: 1,920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.06 : 3,015.45 = 1,278.06 : x
  2. Step 2: Convert to fraction form
    2,007.06/3,015.45 = 1,278.06/x
  3. Step 3: Cross multiply
    2,007.06x = 3,015.45 × 1,278.06
  4. Step 4: Simplify right side
    2,007.06x = 3,853,926.03
  5. Step 5: Solve for x
    x = 3,853,926.03/2,007.06
  6. Step 6: Final answer
    x = 1,920.18

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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.