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Finding the Fourth Proportional to 1,426.48, 1,967.97 and 836.80

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Solution

The fourth proportional to 1,426.48, 1,967.97 and 836.80 is: 1,154.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.48 : 1,967.97 = 836.80 : x
  2. Step 2: Convert to fraction form
    1,426.48/1,967.97 = 836.80/x
  3. Step 3: Cross multiply
    1,426.48x = 1,967.97 × 836.80
  4. Step 4: Simplify right side
    1,426.48x = 1,646,797.30
  5. Step 5: Solve for x
    x = 1,646,797.30/1,426.48
  6. Step 6: Final answer
    x = 1,154.45

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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.