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Finding the Fourth Proportional to 2,130.05, 3,195.86 and 959.70

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Solution

The fourth proportional to 2,130.05, 3,195.86 and 959.70 is: 1,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.05 : 3,195.86 = 959.70 : x
  2. Step 2: Convert to fraction form
    2,130.05/3,195.86 = 959.70/x
  3. Step 3: Cross multiply
    2,130.05x = 3,195.86 × 959.70
  4. Step 4: Simplify right side
    2,130.05x = 3,067,050.86
  5. Step 5: Solve for x
    x = 3,067,050.86/2,130.05
  6. Step 6: Final answer
    x = 1,439.90

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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.