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Finding the Fourth Proportional to 3,065.65, 4,230.97 and 1,739.61

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Solution

The fourth proportional to 3,065.65, 4,230.97 and 1,739.61 is: 2,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.65 : 4,230.97 = 1,739.61 : x
  2. Step 2: Convert to fraction form
    3,065.65/4,230.97 = 1,739.61/x
  3. Step 3: Cross multiply
    3,065.65x = 4,230.97 × 1,739.61
  4. Step 4: Simplify right side
    3,065.65x = 7,360,233.37
  5. Step 5: Solve for x
    x = 7,360,233.37/3,065.65
  6. Step 6: Final answer
    x = 2,400.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.