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Finding the Fourth Proportional to 3,117.58, 4,676.38 and 809.08

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Solution

The fourth proportional to 3,117.58, 4,676.38 and 809.08 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.58 : 4,676.38 = 809.08 : x
  2. Step 2: Convert to fraction form
    3,117.58/4,676.38 = 809.08/x
  3. Step 3: Cross multiply
    3,117.58x = 4,676.38 × 809.08
  4. Step 4: Simplify right side
    3,117.58x = 3,783,551.82
  5. Step 5: Solve for x
    x = 3,783,551.82/3,117.58
  6. Step 6: Final answer
    x = 1,213.62

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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.