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Finding the Fourth Proportional to 2,009, 2,772.96 and 1,311.32

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Solution

The fourth proportional to 2,009, 2,772.96 and 1,311.32 is: 1,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 2,772.96 = 1,311.32 : x
  2. Step 2: Convert to fraction form
    2,009/2,772.96 = 1,311.32/x
  3. Step 3: Cross multiply
    2,009x = 2,772.96 × 1,311.32
  4. Step 4: Simplify right side
    2,009x = 3,636,237.91
  5. Step 5: Solve for x
    x = 3,636,237.91/2,009
  6. Step 6: Final answer
    x = 1,809.97

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1.5x scale

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.