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Finding the Fourth Proportional to 3,009.78, 4,152.67 and 2,065.81

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Solution

The fourth proportional to 3,009.78, 4,152.67 and 2,065.81 is: 2,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.78 : 4,152.67 = 2,065.81 : x
  2. Step 2: Convert to fraction form
    3,009.78/4,152.67 = 2,065.81/x
  3. Step 3: Cross multiply
    3,009.78x = 4,152.67 × 2,065.81
  4. Step 4: Simplify right side
    3,009.78x = 8,578,619.45
  5. Step 5: Solve for x
    x = 8,578,619.45/3,009.78
  6. Step 6: Final answer
    x = 2,850.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.