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Finding the Fourth Proportional to 2,005.89, 3,009.92 and 836.70

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Solution

The fourth proportional to 2,005.89, 3,009.92 and 836.70 is: 1,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.89 : 3,009.92 = 836.70 : x
  2. Step 2: Convert to fraction form
    2,005.89/3,009.92 = 836.70/x
  3. Step 3: Cross multiply
    2,005.89x = 3,009.92 × 836.70
  4. Step 4: Simplify right side
    2,005.89x = 2,518,395.88
  5. Step 5: Solve for x
    x = 2,518,395.88/2,005.89
  6. Step 6: Final answer
    x = 1,255.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.