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Finding the Fourth Proportional to 2,125.46, 3,189.64 and 738.79

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Solution

The fourth proportional to 2,125.46, 3,189.64 and 738.79 is: 1,108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.46 : 3,189.64 = 738.79 : x
  2. Step 2: Convert to fraction form
    2,125.46/3,189.64 = 738.79/x
  3. Step 3: Cross multiply
    2,125.46x = 3,189.64 × 738.79
  4. Step 4: Simplify right side
    2,125.46x = 2,356,464.31
  5. Step 5: Solve for x
    x = 2,356,464.31/2,125.46
  6. Step 6: Final answer
    x = 1,108.69

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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.