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Finding the Fourth Proportional to 2,005.60, 3,004.90 and 1,171.50

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Solution

The fourth proportional to 2,005.60, 3,004.90 and 1,171.50 is: 1,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.60 : 3,004.90 = 1,171.50 : x
  2. Step 2: Convert to fraction form
    2,005.60/3,004.90 = 1,171.50/x
  3. Step 3: Cross multiply
    2,005.60x = 3,004.90 × 1,171.50
  4. Step 4: Simplify right side
    2,005.60x = 3,520,240.35
  5. Step 5: Solve for x
    x = 3,520,240.35/2,005.60
  6. Step 6: Final answer
    x = 1,755.21

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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.