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Finding the Fourth Proportional to 3,122.91, 4,684.41 and 931.68

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Solution

The fourth proportional to 3,122.91, 4,684.41 and 931.68 is: 1,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.91 : 4,684.41 = 931.68 : x
  2. Step 2: Convert to fraction form
    3,122.91/4,684.41 = 931.68/x
  3. Step 3: Cross multiply
    3,122.91x = 4,684.41 × 931.68
  4. Step 4: Simplify right side
    3,122.91x = 4,364,371.11
  5. Step 5: Solve for x
    x = 4,364,371.11/3,122.91
  6. Step 6: Final answer
    x = 1,397.53

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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.