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Finding the Fourth Proportional to 2,905.11, 4,009.13 and 1,578.90

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Solution

The fourth proportional to 2,905.11, 4,009.13 and 1,578.90 is: 2,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.11 : 4,009.13 = 1,578.90 : x
  2. Step 2: Convert to fraction form
    2,905.11/4,009.13 = 1,578.90/x
  3. Step 3: Cross multiply
    2,905.11x = 4,009.13 × 1,578.90
  4. Step 4: Simplify right side
    2,905.11x = 6,330,015.36
  5. Step 5: Solve for x
    x = 6,330,015.36/2,905.11
  6. Step 6: Final answer
    x = 2,178.92

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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.