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Finding the Fourth Proportional to 2,489.72, 3,438.83 and 1,816.47

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Solution

The fourth proportional to 2,489.72, 3,438.83 and 1,816.47 is: 2,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.72 : 3,438.83 = 1,816.47 : x
  2. Step 2: Convert to fraction form
    2,489.72/3,438.83 = 1,816.47/x
  3. Step 3: Cross multiply
    2,489.72x = 3,438.83 × 1,816.47
  4. Step 4: Simplify right side
    2,489.72x = 6,246,536.07
  5. Step 5: Solve for x
    x = 6,246,536.07/2,489.72
  6. Step 6: Final answer
    x = 2,508.94

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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.