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Finding the Fourth Proportional to 1,291.44, 1,934.04 and 821.27

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Solution

The fourth proportional to 1,291.44, 1,934.04 and 821.27 is: 1,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.44 : 1,934.04 = 821.27 : x
  2. Step 2: Convert to fraction form
    1,291.44/1,934.04 = 821.27/x
  3. Step 3: Cross multiply
    1,291.44x = 1,934.04 × 821.27
  4. Step 4: Simplify right side
    1,291.44x = 1,588,369.03
  5. Step 5: Solve for x
    x = 1,588,369.03/1,291.44
  6. Step 6: Final answer
    x = 1,229.92

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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.