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Finding the Fourth Proportional to 6,959.63, 10,438.89 and 3,400.65

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Solution

The fourth proportional to 6,959.63, 10,438.89 and 3,400.65 is: 5,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.63 : 10,438.89 = 3,400.65 : x
  2. Step 2: Convert to fraction form
    6,959.63/10,438.89 = 3,400.65/x
  3. Step 3: Cross multiply
    6,959.63x = 10,438.89 × 3,400.65
  4. Step 4: Simplify right side
    6,959.63x = 35,498,998.53
  5. Step 5: Solve for x
    x = 35,498,998.53/6,959.63
  6. Step 6: Final answer
    x = 5,100.70

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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.