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Finding the Fourth Proportional to 3,106.28, 4,659.07 and 885.24

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Solution

The fourth proportional to 3,106.28, 4,659.07 and 885.24 is: 1,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.28 : 4,659.07 = 885.24 : x
  2. Step 2: Convert to fraction form
    3,106.28/4,659.07 = 885.24/x
  3. Step 3: Cross multiply
    3,106.28x = 4,659.07 × 885.24
  4. Step 4: Simplify right side
    3,106.28x = 4,124,401.13
  5. Step 5: Solve for x
    x = 4,124,401.13/3,106.28
  6. Step 6: Final answer
    x = 1,327.76

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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.