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Finding the Fourth Proportional to 3,145.68, 4,717.68 and 1,296.24

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Solution

The fourth proportional to 3,145.68, 4,717.68 and 1,296.24 is: 1,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.68 : 4,717.68 = 1,296.24 : x
  2. Step 2: Convert to fraction form
    3,145.68/4,717.68 = 1,296.24/x
  3. Step 3: Cross multiply
    3,145.68x = 4,717.68 × 1,296.24
  4. Step 4: Simplify right side
    3,145.68x = 6,115,245.52
  5. Step 5: Solve for x
    x = 6,115,245.52/3,145.68
  6. Step 6: Final answer
    x = 1,944.01

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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.