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Finding the Fourth Proportional to 2,009.11, 2,772.62 and 1,124.90

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Solution

The fourth proportional to 2,009.11, 2,772.62 and 1,124.90 is: 1,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.11 : 2,772.62 = 1,124.90 : x
  2. Step 2: Convert to fraction form
    2,009.11/2,772.62 = 1,124.90/x
  3. Step 3: Cross multiply
    2,009.11x = 2,772.62 × 1,124.90
  4. Step 4: Simplify right side
    2,009.11x = 3,118,920.24
  5. Step 5: Solve for x
    x = 3,118,920.24/2,009.11
  6. Step 6: Final answer
    x = 1,552.39

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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.