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Finding the Fourth Proportional to 2,009.68, 2,773.48 and 1,311.04

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Solution

The fourth proportional to 2,009.68, 2,773.48 and 1,311.04 is: 1,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.68 : 2,773.48 = 1,311.04 : x
  2. Step 2: Convert to fraction form
    2,009.68/2,773.48 = 1,311.04/x
  3. Step 3: Cross multiply
    2,009.68x = 2,773.48 × 1,311.04
  4. Step 4: Simplify right side
    2,009.68x = 3,636,143.22
  5. Step 5: Solve for x
    x = 3,636,143.22/2,009.68
  6. Step 6: Final answer
    x = 1,809.31

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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.