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Finding the Fourth Proportional to 2,005.80, 3,009.66 and 836.70

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Solution

The fourth proportional to 2,005.80, 3,009.66 and 836.70 is: 1,255.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.80 : 3,009.66 = 836.70 : x
  2. Step 2: Convert to fraction form
    2,005.80/3,009.66 = 836.70/x
  3. Step 3: Cross multiply
    2,005.80x = 3,009.66 × 836.70
  4. Step 4: Simplify right side
    2,005.80x = 2,518,182.52
  5. Step 5: Solve for x
    x = 2,518,182.52/2,005.80
  6. Step 6: Final answer
    x = 1,255.45

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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.