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Finding the Fourth Proportional to 1,959.69, 2,939.94 and 661.14

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Solution

The fourth proportional to 1,959.69, 2,939.94 and 661.14 is: 991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.69 : 2,939.94 = 661.14 : x
  2. Step 2: Convert to fraction form
    1,959.69/2,939.94 = 661.14/x
  3. Step 3: Cross multiply
    1,959.69x = 2,939.94 × 661.14
  4. Step 4: Simplify right side
    1,959.69x = 1,943,711.93
  5. Step 5: Solve for x
    x = 1,943,711.93/1,959.69
  6. Step 6: Final answer
    x = 991.85

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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.