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Finding the Fourth Proportional to 2,431.62, 3,643.23 and 1,914.92

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Solution

The fourth proportional to 2,431.62, 3,643.23 and 1,914.92 is: 2,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.62 : 3,643.23 = 1,914.92 : x
  2. Step 2: Convert to fraction form
    2,431.62/3,643.23 = 1,914.92/x
  3. Step 3: Cross multiply
    2,431.62x = 3,643.23 × 1,914.92
  4. Step 4: Simplify right side
    2,431.62x = 6,976,493.99
  5. Step 5: Solve for x
    x = 6,976,493.99/2,431.62
  6. Step 6: Final answer
    x = 2,869.07

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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.