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Finding the Fourth Proportional to 2,009.88, 2,773.18 and 1,170.40

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Solution

The fourth proportional to 2,009.88, 2,773.18 and 1,170.40 is: 1,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.88 : 2,773.18 = 1,170.40 : x
  2. Step 2: Convert to fraction form
    2,009.88/2,773.18 = 1,170.40/x
  3. Step 3: Cross multiply
    2,009.88x = 2,773.18 × 1,170.40
  4. Step 4: Simplify right side
    2,009.88x = 3,245,729.87
  5. Step 5: Solve for x
    x = 3,245,729.87/2,009.88
  6. Step 6: Final answer
    x = 1,614.89

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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.