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Finding the Fourth Proportional to 3,106.75, 4,660.31 and 885.40

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Solution

The fourth proportional to 3,106.75, 4,660.31 and 885.40 is: 1,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.75 : 4,660.31 = 885.40 : x
  2. Step 2: Convert to fraction form
    3,106.75/4,660.31 = 885.40/x
  3. Step 3: Cross multiply
    3,106.75x = 4,660.31 × 885.40
  4. Step 4: Simplify right side
    3,106.75x = 4,126,238.47
  5. Step 5: Solve for x
    x = 4,126,238.47/3,106.75
  6. Step 6: Final answer
    x = 1,328.15

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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.