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Finding the Fourth Proportional to 3,122.04, 4,682.97 and 930.78

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Solution

The fourth proportional to 3,122.04, 4,682.97 and 930.78 is: 1,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.04 : 4,682.97 = 930.78 : x
  2. Step 2: Convert to fraction form
    3,122.04/4,682.97 = 930.78/x
  3. Step 3: Cross multiply
    3,122.04x = 4,682.97 × 930.78
  4. Step 4: Simplify right side
    3,122.04x = 4,358,814.82
  5. Step 5: Solve for x
    x = 4,358,814.82/3,122.04
  6. Step 6: Final answer
    x = 1,396.14

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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.