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Finding the Fourth Proportional to 3,117.60, 4,676.52 and 809.04

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Solution

The fourth proportional to 3,117.60, 4,676.52 and 809.04 is: 1,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.60 : 4,676.52 = 809.04 : x
  2. Step 2: Convert to fraction form
    3,117.60/4,676.52 = 809.04/x
  3. Step 3: Cross multiply
    3,117.60x = 4,676.52 × 809.04
  4. Step 4: Simplify right side
    3,117.60x = 3,783,491.74
  5. Step 5: Solve for x
    x = 3,783,491.74/3,117.60
  6. Step 6: Final answer
    x = 1,213.59

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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.