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Finding the Fourth Proportional to 3,973.05, 5,959.65 and 1,340.06

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Solution

The fourth proportional to 3,973.05, 5,959.65 and 1,340.06 is: 2,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.05 : 5,959.65 = 1,340.06 : x
  2. Step 2: Convert to fraction form
    3,973.05/5,959.65 = 1,340.06/x
  3. Step 3: Cross multiply
    3,973.05x = 5,959.65 × 1,340.06
  4. Step 4: Simplify right side
    3,973.05x = 7,986,288.58
  5. Step 5: Solve for x
    x = 7,986,288.58/3,973.05
  6. Step 6: Final answer
    x = 2,010.12

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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.