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Finding the Fourth Proportional to 3,145.65, 4,722.12 and 1,687.65

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Solution

The fourth proportional to 3,145.65, 4,722.12 and 1,687.65 is: 2,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.65 : 4,722.12 = 1,687.65 : x
  2. Step 2: Convert to fraction form
    3,145.65/4,722.12 = 1,687.65/x
  3. Step 3: Cross multiply
    3,145.65x = 4,722.12 × 1,687.65
  4. Step 4: Simplify right side
    3,145.65x = 7,969,268.11
  5. Step 5: Solve for x
    x = 7,969,268.11/3,145.65
  6. Step 6: Final answer
    x = 2,533.43

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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.