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Finding the Fourth Proportional to 2,006.70, 3,009.90 and 836.40

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Solution

The fourth proportional to 2,006.70, 3,009.90 and 836.40 is: 1,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.70 : 3,009.90 = 836.40 : x
  2. Step 2: Convert to fraction form
    2,006.70/3,009.90 = 836.40/x
  3. Step 3: Cross multiply
    2,006.70x = 3,009.90 × 836.40
  4. Step 4: Simplify right side
    2,006.70x = 2,517,480.36
  5. Step 5: Solve for x
    x = 2,517,480.36/2,006.70
  6. Step 6: Final answer
    x = 1,254.54

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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.