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Finding the Fourth Proportional to 2,009.60, 2,770.72 and 1,729.28

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Solution

The fourth proportional to 2,009.60, 2,770.72 and 1,729.28 is: 2,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.60 : 2,770.72 = 1,729.28 : x
  2. Step 2: Convert to fraction form
    2,009.60/2,770.72 = 1,729.28/x
  3. Step 3: Cross multiply
    2,009.60x = 2,770.72 × 1,729.28
  4. Step 4: Simplify right side
    2,009.60x = 4,791,350.68
  5. Step 5: Solve for x
    x = 4,791,350.68/2,009.60
  6. Step 6: Final answer
    x = 2,384.23

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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.