Home / 2,009-2,772.66-1,125.02

Finding the Fourth Proportional to 2,009, 2,772.66 and 1,125.02

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Solution

The fourth proportional to 2,009, 2,772.66 and 1,125.02 is: 1,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 2,772.66 = 1,125.02 : x
  2. Step 2: Convert to fraction form
    2,009/2,772.66 = 1,125.02/x
  3. Step 3: Cross multiply
    2,009x = 2,772.66 × 1,125.02
  4. Step 4: Simplify right side
    2,009x = 3,119,297.95
  5. Step 5: Solve for x
    x = 3,119,297.95/2,009
  6. Step 6: Final answer
    x = 1,552.66

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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.