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Finding the Fourth Proportional to 3,165.53, 4,750.34 and 1,705.71

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Solution

The fourth proportional to 3,165.53, 4,750.34 and 1,705.71 is: 2,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.53 : 4,750.34 = 1,705.71 : x
  2. Step 2: Convert to fraction form
    3,165.53/4,750.34 = 1,705.71/x
  3. Step 3: Cross multiply
    3,165.53x = 4,750.34 × 1,705.71
  4. Step 4: Simplify right side
    3,165.53x = 8,102,702.44
  5. Step 5: Solve for x
    x = 8,102,702.44/3,165.53
  6. Step 6: Final answer
    x = 2,559.67

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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.