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Finding the Fourth Proportional to 2,005.52, 3,009.15 and 773.80

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Solution

The fourth proportional to 2,005.52, 3,009.15 and 773.80 is: 1,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.52 : 3,009.15 = 773.80 : x
  2. Step 2: Convert to fraction form
    2,005.52/3,009.15 = 773.80/x
  3. Step 3: Cross multiply
    2,005.52x = 3,009.15 × 773.80
  4. Step 4: Simplify right side
    2,005.52x = 2,328,465.80
  5. Step 5: Solve for x
    x = 2,328,465.80/2,005.52
  6. Step 6: Final answer
    x = 1,161.03

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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.