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Finding the Fourth Proportional to 3,106.76, 4,660.37 and 885.57

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Solution

The fourth proportional to 3,106.76, 4,660.37 and 885.57 is: 1,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.76 : 4,660.37 = 885.57 : x
  2. Step 2: Convert to fraction form
    3,106.76/4,660.37 = 885.57/x
  3. Step 3: Cross multiply
    3,106.76x = 4,660.37 × 885.57
  4. Step 4: Simplify right side
    3,106.76x = 4,127,065.28
  5. Step 5: Solve for x
    x = 4,127,065.28/3,106.76
  6. Step 6: Final answer
    x = 1,328.42

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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.