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Finding the Fourth Proportional to 2,129.83, 3,195.51 and 959.71

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Solution

The fourth proportional to 2,129.83, 3,195.51 and 959.71 is: 1,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.83 : 3,195.51 = 959.71 : x
  2. Step 2: Convert to fraction form
    2,129.83/3,195.51 = 959.71/x
  3. Step 3: Cross multiply
    2,129.83x = 3,195.51 × 959.71
  4. Step 4: Simplify right side
    2,129.83x = 3,066,762.90
  5. Step 5: Solve for x
    x = 3,066,762.90/2,129.83
  6. Step 6: Final answer
    x = 1,439.91

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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.