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Finding the Fourth Proportional to 3,139.70, 4,700.30 and 1,965.87

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Solution

The fourth proportional to 3,139.70, 4,700.30 and 1,965.87 is: 2,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.70 : 4,700.30 = 1,965.87 : x
  2. Step 2: Convert to fraction form
    3,139.70/4,700.30 = 1,965.87/x
  3. Step 3: Cross multiply
    3,139.70x = 4,700.30 × 1,965.87
  4. Step 4: Simplify right side
    3,139.70x = 9,240,168.93
  5. Step 5: Solve for x
    x = 9,240,168.93/3,139.70
  6. Step 6: Final answer
    x = 2,943.01

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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.