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Finding the Fourth Proportional to 1,451.82, 2,177.94 and 835.42

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Solution

The fourth proportional to 1,451.82, 2,177.94 and 835.42 is: 1,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.82 : 2,177.94 = 835.42 : x
  2. Step 2: Convert to fraction form
    1,451.82/2,177.94 = 835.42/x
  3. Step 3: Cross multiply
    1,451.82x = 2,177.94 × 835.42
  4. Step 4: Simplify right side
    1,451.82x = 1,819,494.63
  5. Step 5: Solve for x
    x = 1,819,494.63/1,451.82
  6. Step 6: Final answer
    x = 1,253.25

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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.